Medieval Scholasticism is characterized by its position that

church is infallible and unquestionable

faith and reason should be balanced

the state is justice, liberty and equality writ large

the state is society writ large

the state is philosopher writ large

the state is individual writ large

Plato’s system of Communism is meant only for

philosophers soldiers and workers

According to Cicero, which one of the following is the best form ofgovernment?

a mix of monarchy, aristocracy and democracy

Which of the following medium are used to differentiate the colonies of Vibrio cholerae and V parahaemolyticus?

Thiosulphate-citrate-bile-sucrose

Raj stands in a corner of his square farm. Angle of elevation of a scarecrow placed in diagonally opposite corner is 60°. He starts walking backwards in a straight line and after 80ft he realizes that angle of elevation of the scarecrow now is 30°. What is area of the field?

$\frac{{40}}{{\sqrt 2 }}$$ sq.ft.

There is a tower of 10m between two parallel roads. The angles of depression of the roads from the top of the tower are 30° and 45°.How far are the roads from each other?

$\frac{{10}}{{\sqrt 3 }}\,{\text{m}}$$

A and B are standing on ground 50 meters apart. The angles of elevation for these two to the top of a tree are 60° and 30°. What is height of the tree?

$\frac{{25}}{{\sqrt 3- 1}}\,{\text{m}}$$

$\frac{{25}}{{\sqrt 3 }}\,{\text{m}}$$

$\frac{{25}}{{\sqrt 3- 1}}\,{\text{m}}$$

Rohit while seeing a bird on tree top made 45° angle of elevation. He walks 240ft. towards the tree to observe the bird closely, thus making 60° angle of elevation. How far was Rohit from the tree initially?

$\frac{{240}}{{\sqrt 3- 1}}\,{\text{ft}}$$

$\frac{{240\sqrt 3 }}{{\sqrt 3- 1}}\,{\text{ft}}$$

$\frac{{240}}{{\sqrt 3- 1}}\,{\text{ft}}$$

$\frac{{240}}{{\sqrt 3 }}\,{\text{ft}}$$

Mohan looks at a tree top and the angle made is 45°. He moves 10 cm back and again looks at the tree top but this time angle made is 30°.How high is the tree top from ground?

$\frac{{10}}{{\sqrt 3+ 1}}\,{\text{cm}}$$

$\frac{{10}}{{\sqrt 3- 1}}\,{\text{cm}}$$

Tree top’s angle of elevation is 30° from a point on ground, 300m away the tree. When the tree grew up its angle of elevation became 60° from the same point. How much did the tree grow?

$300\frac{1}{{\sqrt 3 }}\,{\text{m}}$$

${\text{200}}\sqrt 3 \,{\text{m}}$$

$300\frac{1}{{\sqrt 3 }}\,{\text{m}}$$

$\frac{{200}}{{\sqrt 3 }}\,{\text{m}}$$

A tree is cut partially and made to fall on ground. The tree however does not fall completely and is still attached to its cut part. The tree top touches the ground at a point 10m from foot of the tree making an angle of 30°. What is the length of the tree?

$\frac{{10}}{{\sqrt 3 }}\,{\text{m}}$$

$\frac{{\left( {\sqrt 2- 1} \right)}}{{10}}\,{\text{m}}$$

$\frac{{10}}{{\sqrt 2 }}\,{\text{m}}$$

Angles of elevation of pole are 60° and 45° from points at distances m and n on ground respectively. Here m, when measured from base of pole is less than n. What is the height of the pole?

$\sqrt {mn\root 4 \of 3 } \,{\text{units}}$$

$\sqrt {mn\sqrt 3 } \,{\text{units}}$$

$\sqrt {mn\root 4 \of 3 } \,{\text{units}}$$

$\sqrt {3mn} \,{\text{units}}$$

A poster is on top of a building. Rajesh is standing on the ground at a distance of 50 m from the building. The angles of elevation to the top of the poster and bottom of the poster are 45° and 30° respectively. What is the height of the poster?

$\frac{{50}}{{\sqrt 3 }}\left( {\sqrt 3- 1} \right)$$

A flagstaff is placed on top of a building. The flagstaff and building subtend equal angles at a point on level ground which is 200 m away from the foot of the building. If the height of the flagstaff is 50 m and the height of the building is h, which of the following is true?

3 - 50h2 + (200)2h + (200)250 = 0

3 - 50h2 - (200)2h + (200)250 = 0

3 + 50h2 + (200)2h - (200)250 = 0

The length of the shadow of a tower standing on level ground is found to 2x meter longer when the sun’s elevation is 30° than when it was 45 °. The height of the tower in meters is

$\left( {\sqrt 3- 1} \right)\,x$$

$\left( {\sqrt 3+ 1} \right)\,x$$

$\left( {\sqrt 3- 1} \right)\,x$$

The angle of elevation of the top of a tower standing on a horizontal plane from a point A is α. After walking a distance 'd' towards the foot of the tower the angle of elevation is found to be β. The height of the tower is

$\frac{d}{{\tan \beta- \operatorname{tant} \alpha }}$$

$\frac{d}{{\cot \alpha+ \cot \beta }}$$

$\frac{d}{{\cot \alpha- \cot \beta }}$$

$\frac{d}{{\tan \beta- \operatorname{tant} \alpha }}$$

$\frac{d}{{\tan \beta+ \operatorname{tant} \alpha }}$$

The height of a tower is 100 m. When the angle of elevation of the sun changes from 30° to 45°, the shadow of the tower becomes x metres less. The value of x is

$100\left( {\sqrt 3- 1} \right)\,m$$

1449 + Mcqs in Height and Distance in General Aptitude Page 28 McqOptions

1351.	Concept of Dharma was followed by
A.	budhism
B.	jainism
C.	hinduism
D.	all the above
Answer» E.

Discussion

1352.	Medieval Scholasticism is characterized by its position that
A.	church is infallible and unquestionable
B.	faith and reason should be balanced
C.	both (a) and (b)
D.	none of the above
Answer» D. none of the above

Discussion

1353.	According to Platonic scheme of education, Music is good for
A.	body
B.	soul
C.	both (a) and (b) above
D.	none of the above
Answer» C. both (a) and (b) above

Discussion

1354.	Political Thought originated in ancient Europe in
A.	rome
B.	greece
C.	england
D.	none of the above
Answer» C. england

Discussion

1355.	According to Plato
A.	the state is justice, liberty and equality writ large
B.	the state is society writ large
C.	the state is philosopher writ large
D.	the state is individual writ large
Answer» E.

Discussion

1356.	Machiavelli approached politics from the stand point of
A.	the people
B.	the pope
C.	the ruler
D.	none of the above
Answer» D. none of the above

Discussion

1357.	Plato’s system of Communism is meant only for
A.	philosophers and soldiers
B.	soldiers and workers
C.	philosophers soldiers and workers
D.	philosophers and workers.
Answer» B. soldiers and workers

Discussion

1358.	According to Cicero, which one of the following is the best form ofgovernment?
A.	monarchy
B.	aristocracy
C.	democracy
D.	a mix of monarchy, aristocracy and democracy
Answer» E.

Discussion

1359.	Which of the following medium are used to differentiate the colonies of Vibrio cholerae and V parahaemolyticus?
A.	Alkaline bile salt
B.	Thiosulphate-citrate-bile-sucrose
C.	MacConkey
D.	All of the above
Answer» C. MacConkey

Discussion

1360.	Which of the following are responsible causing the diseases?
A.	Pathogens
B.	T cells
C.	Lymphocytes
D.	Macrophages
Answer» B. T cells

Discussion

1361.	An organism's first line of defense against attack by an invader such as a virus or bacterium is usually
A.	to flee or hide
B.	its body wall
C.	a specific immune response
D.	a nonspecific immune response
Answer» C. a specific immune response

Discussion

1362.	Lysosomes are specialized vesicles in __________ that contain digestive enzymes for the breakdown of food. A related organalle known as a vacuole, which is found in __________ , also contains enzymes but in addition may act as a storage organelle for nutrients or water.
A.	animals; plants and fungi
B.	plants; animals and fungi
C.	plants and fungi; animals
D.	animals and plants; fungi
Answer» B. plants; animals and fungi

Discussion

1363.	In which of the following cell types more cellular detail can be observed using an electron microscope compared to a light microscope?
A.	Animal
B.	Bacterial
C.	Protist
D.	All of these
Answer» E.

Discussion

1364.	A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30° with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60°. What is the distance between the base of the tower and the point P?
A.	43 units
B.	8 units
C.	12 units
D.	Data inadequate
E.	None of these
Answer» E. None of these

Discussion

1365.	The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:
A.	2.3 m
B.	4.6 m
C.	7.8 m
D.	9.2 m
Answer» E.

Discussion

1366.	From a point P on a level ground, the angle of elevation of the top tower is 30°. If the tower is 100 m high, the distance of point P from the foot of the tower is:
A.	149 m
B.	156 m
C.	173 m
D.	200 m
Answer» D. 200 m

Discussion

1367.	An observer 1.6 m tall is 203 away from a tower. The angle of elevation from his eye to the top of the tower is 30°. The height of the tower is:
A.	21.6 m
B.	23.2 m
C.	24.72 m
D.	None of these
Answer» B. 23.2 m

Discussion

1368.	Due to sun, a 6ft man casts a shadow of 4ft, whereas a pole next to the man casts a shadow of 36ft. What is the height of the pole?
A.	3 ft
B.	2 ft
C.	4 ft
D.	8 ft
Answer» D. 8 ft

Discussion

1369.	Raj stands in a corner of his square farm. Angle of elevation of a scarecrow placed in diagonally opposite corner is 60°. He starts walking backwards in a straight line and after 80ft he realizes that angle of elevation of the scarecrow now is 30°. What is area of the field?
A.	600 sq.ft.
B.	0 sq.ft.
C.	$\frac{{40}}{{\sqrt 2 }}$$ sq.ft.
D.	00 sq.ft.
Answer» E.

Discussion

1370.	There is a tower of 10m between two parallel roads. The angles of depression of the roads from the top of the tower are 30° and 45°.How far are the roads from each other?
A.	7.32 m
B.	9.56 m
C.	$20\sqrt 3 \,{\text{m}}$$
D.	$\frac{{10}}{{\sqrt 3 }}\,{\text{m}}$$
Answer» B. 9.56 m

Discussion

1371.	A and B are standing on ground 50 meters apart. The angles of elevation for these two to the top of a tree are 60° and 30°. What is height of the tree?
A.	$50\sqrt 3 \,{\text{m}}$$
B.	$\frac{{25}}{{\sqrt 3 }}\,{\text{m}}$$
C.	$25\sqrt 3 \,{\text{m}}$$
D.	$\frac{{25}}{{\sqrt 3- 1}}\,{\text{m}}$$
Answer» D. $\frac{{25}}{{\sqrt 3- 1}}\,{\text{m}}$$

Discussion

1372.	Ramesh and Suresh’s mud forts have heights 8 cm and 15 cm. They are 24 cm apart. How far are the fort tops from each other?
A.	1 cm
B.	4 cm
C.	5 cm
D.	4.5 cm
Answer» D. 4.5 cm

Discussion

1373.	There is a tree between houses of A and B. If the tree leans on A’s House, the tree top rests on his window which is 12 m from ground. If the tree leans on B’s House, the tree top rests on his window which is 9 m from ground. If the height of the tree is 15 m, what is distance between A’s and B’s house?
A.	1 m
B.	5 m
C.	6 m
D.	2 m
Answer» B. 5 m

Discussion

1374.	Shadow of a man is $$\frac{1}{{\sqrt 3 }}$$ times the height of the man. What will be the sun’s angle of elevation?
A.	35°
B.	5°
C.	0°
D.	0°
Answer» E.

Discussion

1375.	Two houses are in front of each other. Both have chimneys on their top. The line joining the chimneys makes an angle of 45° with the ground. How far are the houses from each other if one house is 25m and other is 10m in height?
A.	8 m
B.	2 m
C.	.5 m
D.	5 m
Answer» E.

Discussion

1376.	A tree breaks and falls to the ground such that its upper part is still partially attached to its stem. At what height did it break, if the original height of the tree was 24 cm and it makes an angle of 30° with the ground?
A.	2 cm
B.	cm
C.	.5 cm
D.	.5 cm
Answer» C. .5 cm

Discussion

1377.	Rohit while seeing a bird on tree top made 45° angle of elevation. He walks 240ft. towards the tree to observe the bird closely, thus making 60° angle of elevation. How far was Rohit from the tree initially?
A.	$\frac{{240\sqrt 3 }}{{\sqrt 3- 1}}\,{\text{ft}}$$
B.	$\frac{{240}}{{\sqrt 3- 1}}\,{\text{ft}}$$
C.	$\frac{{240}}{{\sqrt 3 }}\,{\text{ft}}$$
D.	$240\sqrt 3 \,{\text{ft}}$$
Answer» B. $\frac{{240}}{{\sqrt 3- 1}}\,{\text{ft}}$$

Discussion

1378.	Mohan looks at a tree top and the angle made is 45°. He moves 10 cm back and again looks at the tree top but this time angle made is 30°.How high is the tree top from ground?
A.	$\frac{{10}}{{\sqrt 3+ 1}}\,{\text{cm}}$$
B.	$20\sqrt 3 \,{\text{cm}}$$
C.	$20\,{\text{cm}}$$
D.	$\frac{{10}}{{\sqrt 3- 1}}\,{\text{cm}}$$
Answer» E.

Discussion

1379.	Tree top’s angle of elevation is 30° from a point on ground, 300m away the tree. When the tree grew up its angle of elevation became 60° from the same point. How much did the tree grow?
A.	$100\sqrt 3 \,{\text{m}}$$
B.	${\text{200}}\sqrt 3 \,{\text{m}}$$
C.	$300\frac{1}{{\sqrt 3 }}\,{\text{m}}$$
D.	$\frac{{200}}{{\sqrt 3 }}\,{\text{m}}$$
Answer» C. $300\frac{1}{{\sqrt 3 }}\,{\text{m}}$$

Discussion

1380.	A tree is cut partially and made to fall on ground. The tree however does not fall completely and is still attached to its cut part. The tree top touches the ground at a point 10m from foot of the tree making an angle of 30°. What is the length of the tree?
A.	$10\sqrt 3 \,{\text{m}}$$
B.	$\frac{{10}}{{\sqrt 3 }}\,{\text{m}}$$
C.	$\frac{{\left( {\sqrt 2- 1} \right)}}{{10}}\,{\text{m}}$$
D.	$\frac{{10}}{{\sqrt 2 }}\,{\text{m}}$$
Answer» B. $\frac{{10}}{{\sqrt 3 }}\,{\text{m}}$$

Discussion

1381.	Angles of elevation of pole are 60° and 45° from points at distances m and n on ground respectively. Here m, when measured from base of pole is less than n. What is the height of the pole?
A.	$\sqrt {mn\sqrt 3 } \,{\text{units}}$$
B.	$\sqrt {mn\root 4 \of 3 } \,{\text{units}}$$
C.	$\sqrt {3mn} \,{\text{units}}$$
D.	$\sqrt {mn} \,{\text{units}}$$
Answer» B. $\sqrt {mn\root 4 \of 3 } \,{\text{units}}$$

Discussion

1382.	A poster is on top of a building. Rajesh is standing on the ground at a distance of 50 m from the building. The angles of elevation to the top of the poster and bottom of the poster are 45° and 30° respectively. What is the height of the poster?
A.	$\frac{{50}}{{\sqrt 3 }}\left( {\sqrt 3- 1} \right)$$
B.	$50\sqrt 3 \,{\text{m}}$$
C.	$50\sqrt 3 \,{\text{m}}$$
D.	one of these
Answer» B. $50\sqrt 3 \,{\text{m}}$$

Discussion

1383.	From the top of a hill 100 m high, the angles of depression of the top and bottom of a pole are 30° and 60° respectively. What is the height of the pole?
A.	2 m
B.	0 m
C.	6.67 m
D.	3.33 m
Answer» D. 3.33 m

Discussion

1384.	A flagstaff is placed on top of a building. The flagstaff and building subtend equal angles at a point on level ground which is 200 m away from the foot of the building. If the height of the flagstaff is 50 m and the height of the building is h, which of the following is true?
A.	3 - 50h2 + (200)2h + (200)250 = 0
B.	3 - 50h2 - (200)2h + (200)250 = 0
C.	3 + 50h2 + (200)2h - (200)250 = 0
D.	one of these
Answer» D. one of these

Discussion

1385.	On the same side of a tower, two objects are located. Observed from the top of the tower, their angles of depression are 45° and 60°. If the height of the tower is 600 m, the distance between the objects is approximately equal to :
A.	72 m
B.	84 m
C.	88 m
D.	54 m
Answer» E.

Discussion

1386.	The angle of elevation of the top of a lighthouse 60 m high, from two points on the ground on its opposite sides are 45° and 60°. What is the distance between these two points?
A.	5 m
B.	0 m
C.	03.8 m
D.	4.6 m
Answer» E.

Discussion

1387.	If the angle of elevation of the top of a tower from two points distant a and b from the base and in the same straight line with It are complementary, then the height of the tower is
A.	$ab$$
B.	$\sqrt {ab} $$
C.	$\frac{a}{b}$$
D.	$\sqrt {\frac{a}{b}} $$
Answer» C. $\frac{a}{b}$$

Discussion

1388.	The length of the shadow of a tower standing on level ground is found to 2x meter longer when the sun’s elevation is 30° than when it was 45 °. The height of the tower in meters is
A.	$\left( {\sqrt 3+ 1} \right)\,x$$
B.	$\left( {\sqrt 3- 1} \right)\,x$$
C.	$2\sqrt 3 \,x$$
D.	$3\sqrt 2 \,x$$
Answer» B. $\left( {\sqrt 3- 1} \right)\,x$$

Discussion

1389.	The length of shadow of a tower on the plane ground is $$\sqrt 3 $$ times the height of the tower. The angle of elevation of sun is
A.	5°
B.	0°
C.	0°
D.	0°
Answer» C. 0°

Discussion

1390.	The angle of elevation of the top of a tower standing on a horizontal plane from a point A is α. After walking a distance 'd' towards the foot of the tower the angle of elevation is found to be β. The height of the tower is
A.	$\frac{d}{{\cot \alpha+ \cot \beta }}$$
B.	$\frac{d}{{\cot \alpha- \cot \beta }}$$
C.	$\frac{d}{{\tan \beta- \operatorname{tant} \alpha }}$$
D.	$\frac{d}{{\tan \beta+ \operatorname{tant} \alpha }}$$
Answer» C. $\frac{d}{{\tan \beta- \operatorname{tant} \alpha }}$$

Discussion

1391.	The height of a tower is 100 m. When the angle of elevation of the sun changes from 30° to 45°, the shadow of the tower becomes x metres less. The value of x is
A.	$100\,m$$
B.	$100\sqrt 3 \,m$$
C.	$100\left( {\sqrt 3- 1} \right)\,m$$
D.	$\frac{{100}}{{\sqrt 3 }}\,m$$
Answer» D. $\frac{{100}}{{\sqrt 3 }}\,m$$

Discussion

1392.	The tops of two poles of height 16 m and 10 m are connected by a wire of length l metres. If the wire makes an angle of 30° with the horizontal, then l =
A.	6
B.	6
C.	2
D.	0
Answer» D. 0

Discussion

1393.	If the altitude of the sun is at 60°, then the height of the vertical tower that will cast a shadow of length 30 m is
A.	$30\sqrt 3 \,m$$
B.	$15\,m$$
C.	$\frac{{30}}{{\sqrt 3 }}\,m$$
D.	$15\sqrt 2 \,m$$
Answer» B. $15\,m$$

Discussion

1394.	The angle of depression of a car parked on the road from the top of a 150 m high tower is 30°. The distance of the car from the tower (in metres) is
A.	0 $$\sqrt 3 $$
B.	50 $$\sqrt 3 $$
C.	00 $$\sqrt 3 $$
D.	5
Answer» C. 00 $$\sqrt 3 $$

Discussion

1395.	A lower subtends an angle of 30° at a point on the same level as its foot. At a second point h metres above the first, the depression of the foot of the tower is 60°. The height of the tower is
A.	$\frac{h}{2}\,m$$
B.	$\sqrt 3 \,h\,m$$
C.	$\frac{h}{3}\,m$$
D.	$\frac{h}{{\sqrt 3 }}\,m$$
Answer» D. $\frac{h}{{\sqrt 3 }}\,m$$

Discussion

1396.	The tops of two poles of height 20 m and 14 m are connected by a wire. If the wire makes an angle of 30° with horizontal, then the length of the wire is
A.	2 m
B.	0 m
C.	m
D.	m
Answer» B. 0 m

Discussion

1397.	A ladder makes an angle of 60° with the ground when placed against a wall. If the foot of the ladder is 2 m away from the wall, then the length of the ladder (in metres) is
A.	$\frac{4}{{\sqrt 3 }}$$
B.	$4\sqrt 3 $$
C.	$2\sqrt 2 $$
D.	$4$$
Answer» E.

Discussion

1398.	It is found that on walking x metres towards a chimney in a horizontal line through its base, the elevation of its top changes from 30° to 60° . The height of the chimney is
A.	$3\sqrt 2 \,x$$
B.	$2\sqrt 3 \,x$$
C.	$\frac{{\sqrt 3 }}{2}\,x$$
D.	$\frac{2}{{\sqrt 3 }}\,x$$
Answer» D. $\frac{2}{{\sqrt 3 }}\,x$$

Discussion

1399.	The ratio of the length of a rod and its shadow is 1 : $$\sqrt 3 $$ The angle of elevation of the sum is
A.	0°
B.	5°
C.	0°
D.	0°
Answer» B. 5°

Discussion

1400.	The angle of elevation of the top of a tower at a point on the ground 50 m away from the foot of the tower is 45°. Then the height of the tower (in metres) is
A.	$50\sqrt 3 $$
B.	$50$$
C.	$\frac{{50}}{{\sqrt 2 }}$$
D.	$\frac{{50}}{{\sqrt 3 }}$$
Answer» C. $\frac{{50}}{{\sqrt 2 }}$$

Discussion

Explore topic-wise MCQs in General Aptitude.

Concept of Dharma was followed by

Medieval Scholasticism is characterized by its position that

According to Platonic scheme of education, Music is good for

Political Thought originated in ancient Europe in

According to Plato

Machiavelli approached politics from the stand point of

Plato’s system of Communism is meant only for

According to Cicero, which one of the following is the best form ofgovernment?

Which of the following medium are used to differentiate the colonies of Vibrio cholerae and V parahaemolyticus?

Which of the following are responsible causing the diseases?

An organism's first line of defense against attack by an invader such as a virus or bacterium is usually

Lysosomes are specialized vesicles in __________ that contain digestive enzymes for the breakdown of food. A related organalle known as a vacuole, which is found in __________ , also contains enzymes but in addition may act as a storage organelle for nutrients or water.

In which of the following cell types more cellular detail can be observed using an electron microscope compared to a light microscope?

A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30° with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60°. What is the distance between the base of the tower and the point P?

The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:

From a point P on a level ground, the angle of elevation of the top tower is 30°. If the tower is 100 m high, the distance of point P from the foot of the tower is:

An observer 1.6 m tall is 203 away from a tower. The angle of elevation from his eye to the top of the tower is 30°. The height of the tower is:

Due to sun, a 6ft man casts a shadow of 4ft, whereas a pole next to the man casts a shadow of 36ft. What is the height of the pole?

Raj stands in a corner of his square farm. Angle of elevation of a scarecrow placed in diagonally opposite corner is 60°. He starts walking backwards in a straight line and after 80ft he realizes that angle of elevation of the scarecrow now is 30°. What is area of the field?

There is a tower of 10m between two parallel roads. The angles of depression of the roads from the top of the tower are 30° and 45°.How far are the roads from each other?

A and B are standing on ground 50 meters apart. The angles of elevation for these two to the top of a tree are 60° and 30°. What is height of the tree?

Ramesh and Suresh’s mud forts have heights 8 cm and 15 cm. They are 24 cm apart. How far are the fort tops from each other?

Shadow of a man is $$\frac{1}{{\sqrt 3 }}$$ times the height of the man. What will be the sun’s angle of elevation?

Two houses are in front of each other. Both have chimneys on their top. The line joining the chimneys makes an angle of 45° with the ground. How far are the houses from each other if one house is 25m and other is 10m in height?

A tree breaks and falls to the ground such that its upper part is still partially attached to its stem. At what height did it break, if the original height of the tree was 24 cm and it makes an angle of 30° with the ground?

Rohit while seeing a bird on tree top made 45° angle of elevation. He walks 240ft. towards the tree to observe the bird closely, thus making 60° angle of elevation. How far was Rohit from the tree initially?

Mohan looks at a tree top and the angle made is 45°. He moves 10 cm back and again looks at the tree top but this time angle made is 30°.How high is the tree top from ground?

Tree top’s angle of elevation is 30° from a point on ground, 300m away the tree. When the tree grew up its angle of elevation became 60° from the same point. How much did the tree grow?

A tree is cut partially and made to fall on ground. The tree however does not fall completely and is still attached to its cut part. The tree top touches the ground at a point 10m from foot of the tree making an angle of 30°. What is the length of the tree?

Angles of elevation of pole are 60° and 45° from points at distances m and n on ground respectively. Here m, when measured from base of pole is less than n. What is the height of the pole?

A poster is on top of a building. Rajesh is standing on the ground at a distance of 50 m from the building. The angles of elevation to the top of the poster and bottom of the poster are 45° and 30° respectively. What is the height of the poster?

From the top of a hill 100 m high, the angles of depression of the top and bottom of a pole are 30° and 60° respectively. What is the height of the pole?

A flagstaff is placed on top of a building. The flagstaff and building subtend equal angles at a point on level ground which is 200 m away from the foot of the building. If the height of the flagstaff is 50 m and the height of the building is h, which of the following is true?

On the same side of a tower, two objects are located. Observed from the top of the tower, their angles of depression are 45° and 60°. If the height of the tower is 600 m, the distance between the objects is approximately equal to :

The angle of elevation of the top of a lighthouse 60 m high, from two points on the ground on its opposite sides are 45° and 60°. What is the distance between these two points?

If the angle of elevation of the top of a tower from two points distant a and b from the base and in the same straight line with It are complementary, then the height of the tower is

The length of the shadow of a tower standing on level ground is found to 2x meter longer when the sun’s elevation is 30° than when it was 45 °. The height of the tower in meters is

The length of shadow of a tower on the plane ground is $$\sqrt 3 $$ times the height of the tower. The angle of elevation of sun is

The angle of elevation of the top of a tower standing on a horizontal plane from a point A is α. After walking a distance 'd' towards the foot of the tower the angle of elevation is found to be β. The height of the tower is

The height of a tower is 100 m. When the angle of elevation of the sun changes from 30° to 45°, the shadow of the tower becomes x metres less. The value of x is

The tops of two poles of height 16 m and 10 m are connected by a wire of length l metres. If the wire makes an angle of 30° with the horizontal, then l =

If the altitude of the sun is at 60°, then the height of the vertical tower that will cast a shadow of length 30 m is

The angle of depression of a car parked on the road from the top of a 150 m high tower is 30°. The distance of the car from the tower (in metres) is

A lower subtends an angle of 30° at a point on the same level as its foot. At a second point h metres above the first, the depression of the foot of the tower is 60°. The height of the tower is

The tops of two poles of height 20 m and 14 m are connected by a wire. If the wire makes an angle of 30° with horizontal, then the length of the wire is

A ladder makes an angle of 60° with the ground when placed against a wall. If the foot of the ladder is 2 m away from the wall, then the length of the ladder (in metres) is

It is found that on walking x metres towards a chimney in a horizontal line through its base, the elevation of its top changes from 30° to 60° . The height of the chimney is

The ratio of the length of a rod and its shadow is 1 : $$\sqrt 3 $$ The angle of elevation of the sum is

The angle of elevation of the top of a tower at a point on the ground 50 m away from the foot of the tower is 45°. Then the height of the tower (in metres) is

Lysosomes are specialized vesicles in that contain digestive enzymes for the breakdown of food. A related organalle known as a vacuole, which is found in , also contains enzymes but in addition may act as a storage organelle for nutrients or water.