74 + Mcqs in Height and Distance in Aptitude Page 1 McqOptions

1.	An observer 1.6 m tall is 20 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

2.	The angle of elevation of the sun, when the length of the shadow of a tree times the height of the tree, is:
A.	30°
B.	45°
C.	60°
D.	90°
Answer» B. 45°

Discussion

3.	An observer 1.6 m tall is 20 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

4.	The angle of elevation of the sun, when the length of the shadow of a tree times the height of the tree, is:
A.	30°
B.	45°
C.	60°
D.	90°
Answer» B. 45°

Discussion

5.	From the top of h meter high cliff the angles of depression of the top and the button of a tower are observed to be 30 and 60 respectively. The height of the tower is ?
A.	h
B.
C.	2h
D.	h/3
E.	2h/3
Answer» E. 2h/3

Discussion

6.	The angles of elevation of the top of a verticle tower from two points, distance a and b (a > b) from the base and in the same straight line with it are complementary. Then the height of the tower is ?
A.
B.
C.
D.
E.	..
Answer» B.

Discussion

7.	At a point, 15 m away from the base of a 15 m high house, the angle of elevation of the top is :
A.	45
B.	30
C.	60
D.	90
Answer» B. 30

Discussion

8.	A tower subtends an angle of 30 at a point on the same level as the foot of the tower. At a second point, h m above the first, the depression of the foot of the tower is 60 . The horizontal distance of the tower from the point is :
A.	h cot 60
B.	h cot 30
Answer» B. h cot 30

Discussion

9.	The angles of elevation of the top of a tower from the points P and Q, at distances of a and b respectively from the base of the tower and in the same straight line with it are complementary. The height of the tower is :
A.
B.	ab
C.	a
D.	b
Answer» B. ab

Discussion

10.	The top of a 15 m high tower makes an angle of elevation of 60 with the bottom of an electric pole and an angle of elevation of 30 with the top of the pole. What is the height of the electric pole?
A.	5 m
B.	8 m
C.	10 m
D.	12 m
E.	None of these
Answer» D. 12 m

Discussion

11.	The angle of elevation of a tower from a distance 50 m from its foot is 30 . The height of the tower is :
A.	50
B.	m
C.	75
D.	m
Answer» C. 75

Discussion

12.	The angle of elevation of the top of a TV tower from three points A, B, C in a straight line through the foot of the tower are , 2 , 3 , respectively. If AB = a, the height of the tower is :
A.	a tan
B.	a sin
C.	a sin 2
D.	a sin 3
Answer» D. a sin 3

Discussion

13.	A man is standing on the 8 m long shadow of a 6 m long pole. If the length of the shadow is 2.4 meter, then the height of the man is :
A.	1.4 m
B.	1.6 m
C.	1.8 m
D.	2.0 m.
Answer» D. 2.0 m.

Discussion

14.	In a rectangle, if the angle between a diagonal and a side is 30 and the length of diagonal is 6 cm, the area of the rectangle is :
A.	(a) 9 cm
B.	9
C.	cm
D.	27 cm
E.	36 cm
Answer» C. cm

Discussion

15.	If a flag staff of 6 m height placed on the top of a tower throws a shadow of 2 3 m along the ground, then the angle that the sun makes with the ground is :
A.	60
B.	30
C.	45
D.	None of these
Answer» B. 30

Discussion

16.	ABCD is a square plot. The angle of elevation of the top of a pole standing at D from A or C is 30 and that from B is then Tan equal to ?
A.	6
B.	1/ 6
C.	3/ 2
D.	2/ 3
E.	a 2
Answer» C. 3/ 2

Discussion

17.	A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45 with the man s eye when at a distance of 60 meter from the tower. After 5 second, the angle of depression becomes 30 . What is the approximate speed of the boat, assuming it is running in still water?
A.	32 Km/h
B.	42 Km/h
C.	38 Km/h
D.	36 Km/h
E.	40 Km/h
Answer» B. 42 Km/h

Discussion

18.	If r sin = 1, r cos = 3 then the value of ( 3 tan + 1 ) is :
A.
B.	1
C.	2
Answer» E.

Discussion

19.	Two posts are x meter apart and the height of one is double that of the other. If from the midpoint of the line joining their feet, an observer finds the angular elevations of their tops to be complementary, then the height (in meter) of the shorter post is :
A.	x
Answer» B.

Discussion

20.	The angle of elevation of the sun when the length of the shadow of a pole is 3 times the height of the pole will be :
A.	30
B.	60
C.	90
D.	45
Answer» B. 60

Discussion

21.	The tops of two poles of height 20 m and 14 m are connected by a wire. If the wire makes an angle 30 with the horizontal, then the length of the wire is :
A.	12 m
B.	10 m
C.	8 m
D.	None of these
Answer» B. 10 m

Discussion

22.

The length of a shadow of a vertical tower is 1
3
times of its height. The angle of elevation of the Sun is :

A.

30

B.

45

C.

60

D.

90

Answer» D. 90

Discussion

23.	ABC is a triangular park with AB = AC = 100 meters. A clock tower is situated at the mid-point of BC. The angles of elevation of the top of the tower of A and B are cot^-1 (3.2) and cosec^-1(2.6) respectively. The height of the tower in meters is ?
A.	25/2
B.	25
C.	50
D.	None of these
Answer» C. 50

Discussion

24.	The angle of elevation of a ladder leaning against a wall is 60 and the foot of the ladder is 12.4 m away from the wall. The length of the ladder is :
A.	14.8 m
B.	24.8 m
C.	6.2 m
D.	12.4 m
Answer» C. 6.2 m

Discussion

25.	A person standing on the bank of a river observes that the angle subtended by a tree on the opposite bank is 60 , when he retires 40 meters from the bank then he find the angle to be 30 . Then the breadth of the river is ?
A.	40 m
B.	60 m
C.	20 m
D.	30 m
Answer» D. 30 m

Discussion

26.	A man from the top of a 100 m high tower sees a car moving towards the tower at an angle of depression of 30 . After some time, the angle of depression becomes 60 . The distance (in m) traveled by the car during this time is :
A.	100
B.	200
Answer» C.

Discussion

27.	A person standing on the bank of a river observes that the angle subtended by a tree on the opposite bank is 60 . When he retires 40 m from the bank, he finds the angle to be 30 . The breadth of the river is :
A.	40 m
B.	60 m
C.	20 m
D.	30 m
Answer» D. 30 m

Discussion

28.	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 P meter smaller. The value of P is :
A.	100 m
B.	100
C.	m
D.	100(
E.	- 1) m
Answer» D. 100(

Discussion

29.	A tower stands at the end of a straight road. The angles of elevation of the top of the tower from two points on the road 500 m apart are 45 and 60 , respectively. Find out the height of the tower.
A.	5000
B.
C.	None of these
Answer» B.

Discussion

30.	From the top of a 25 m high, cliff the angle of elevation of a tower is found to be equal to the angle of depression of the foot of the tower. Find out the height of the tower.
A.	40 m
B.	48 m
C.	50 m
D.	52 m
Answer» D. 52 m

Discussion

31.	The angle of elevation of the top of a tower from a point 20 m away from its base is 45 . The height of the tower is :
A.	10 m
B.	20 m
C.	40 m
D.	20
E.	m
Answer» C. 40 m

Discussion

32.	The angle of elevation of the top of a hill from each of the vertices A, B, C of a horizontal triangle is . The height of the hill is :
A.	b tan cosec B
B.	None of these
Answer» C.

Discussion

33.	A tower standing on a horizontal plane subtends a certain angle at a point 160 m apart from the foot of the tower. On advancing 100 m towards it, the tower is found to subtend an angle twice as before. The height of the tower is :
A.	80 m
B.	100 m
C.	160 m
D.	200 m
Answer» B. 100 m

Discussion

34.	The ratio of the length of a rod and its shadow is 1: 3 .The angle of elevation of the sun is :
A.	30
B.	45
C.	60
D.	90
Answer» B. 45

Discussion

35.	When the sun is 30 above the horizontal, the length of shadow cast by a building 50 m high is :
A.	50
B.	m
C.	25 m
D.	25
E.	m
Answer» C. 25 m

Discussion

36.	On the ground level the angle of elevation of the top of a tower is 30 , On moving 20 m nearer the tower, the angle of elevation found to be 60 . The height of the tower is ?
A.	10 m
B.	10
C.	m
D.	15 m
E.	20 m
Answer» C. m

Discussion

37.	The angle of elevation of the sun, when the length of the shadow of a tree 3 times the height of the tree, is:
A.	30
B.	45
C.	60
D.	90
Answer» B. 45

Discussion

38.	Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30 and 45 respectively. If the lighthouse is 100 m high, the distance between the two ships is:
A.	173 m
B.	200 m
C.	273 m
D.	300 m
Answer» D. 300 m

Discussion

39.	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

40.	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

41.	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

42.

The length of a shadow of a vertical tower is 1
3

A.

30

B.

45

C.

60

D.

90

Answer» D. 90

Discussion

43.	The angles of depression of two ships from the top of a light house are 45 and 30 towards east. if the ships are 200 m apart, find the height of the light house .
A.	100 m
B.	173 m
C.	200 m
D.	273 m
Answer» E.

Discussion

44.	The angle of elevation of the top of a TV tower from three points
A.	a tan
B.	a sin
C.	a sin 2
D.	a sin 3
Answer» D. a sin 3

Discussion

45.	A man is standing on the
A.	1.4 m
B.	1.6 m
C.	1.8 m
D.	2.0 m.
Answer» D. 2.0 m.

Discussion

46.	A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of
A.	32 Km/h
B.	42 Km/h
C.	38 Km/h
D.	36 Km/h
E.	40 Km/h
Answer» B. 42 Km/h

Discussion

47.	At a point on a level plane a tower subtends an angle and a flag-staff a ft. in length at the top of the tower subtends an angle . The height of the tower is :
A.	asin cos / cos ( + )
B.	asin cos ( + ) / sin
C.	a cos ( + ) / sin sin
D.	None of these
Answer» E.

Discussion

48.	ABCD is a square plot. The angle of elevation of the top of a pole standing at D from A or C is 30 and that from B is then Tan
A.	6
B.	1/ 6
C.	3/ 2
D.	2/ 3
E.	a 2
Answer» C. 3/ 2

Discussion

49.	If a flag staff of
A.	60
B.	30
C.	45
D.	None of these
Answer» B. 30

Discussion

50.	ABC is a triangular park with AB = AC = 100 meters. A clock tower is situated at the mid-point of BC. The angles of elevation of the top of the tower of A and B are cot
A.	25/2
B.	25
C.	50
D.	None of these
Answer» C. 50

Discussion

Explore topic-wise MCQs in Aptitude.

An observer 1.6 m tall is 20 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:

The angle of elevation of the sun, when the length of the shadow of a tree times the height of the tree, is:

An observer 1.6 m tall is 20 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:

The angle of elevation of the sun, when the length of the shadow of a tree times the height of the tree, is:

From the top of h meter high cliff the angles of depression of the top and the button of a tower are observed to be 30 and 60 respectively. The height of the tower is ?

The angles of elevation of the top of a verticle tower from two points, distance a and b (a > b) from the base and in the same straight line with it are complementary. Then the height of the tower is ?

At a point, 15 m away from the base of a 15 m high house, the angle of elevation of the top is :

A tower subtends an angle of 30 at a point on the same level as the foot of the tower. At a second point, h m above the first, the depression of the foot of the tower is 60 . The horizontal distance of the tower from the point is :

The angles of elevation of the top of a tower from the points P and Q, at distances of a and b respectively from the base of the tower and in the same straight line with it are complementary. The height of the tower is :

The top of a 15 m high tower makes an angle of elevation of 60 with the bottom of an electric pole and an angle of elevation of 30 with the top of the pole. What is the height of the electric pole?

The angle of elevation of a tower from a distance 50 m from its foot is 30 . The height of the tower is :

The angle of elevation of the top of a TV tower from three points A, B, C in a straight line through the foot of the tower are , 2 , 3 , respectively. If AB = a, the height of the tower is :

A man is standing on the 8 m long shadow of a 6 m long pole. If the length of the shadow is 2.4 meter, then the height of the man is :

In a rectangle, if the angle between a diagonal and a side is 30 and the length of diagonal is 6 cm, the area of the rectangle is :

If a flag staff of 6 m height placed on the top of a tower throws a shadow of 2 3 m along the ground, then the angle that the sun makes with the ground is :

ABCD is a square plot. The angle of elevation of the top of a pole standing at D from A or C is 30 and that from B is then Tan equal to ?

If r sin = 1, r cos = 3 then the value of ( 3 tan + 1 ) is :

Two posts are x meter apart and the height of one is double that of the other. If from the midpoint of the line joining their feet, an observer finds the angular elevations of their tops to be complementary, then the height (in meter) of the shorter post is :

The angle of elevation of the sun when the length of the shadow of a pole is 3 times the height of the pole will be :

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

The length of a shadow of a vertical tower is 1 3 times of its height. The angle of elevation of the Sun is :

ABC is a triangular park with AB = AC = 100 meters. A clock tower is situated at the mid-point of BC. The angles of elevation of the top of the tower of A and B are cot-1 (3.2) and cosec-1(2.6) respectively. The height of the tower in meters is ?

The angle of elevation of a ladder leaning against a wall is 60 and the foot of the ladder is 12.4 m away from the wall. The length of the ladder is :

A person standing on the bank of a river observes that the angle subtended by a tree on the opposite bank is 60 , when he retires 40 meters from the bank then he find the angle to be 30 . Then the breadth of the river is ?

A man from the top of a 100 m high tower sees a car moving towards the tower at an angle of depression of 30 . After some time, the angle of depression becomes 60 . The distance (in m) traveled by the car during this time is :

A person standing on the bank of a river observes that the angle subtended by a tree on the opposite bank is 60 . When he retires 40 m from the bank, he finds the angle to be 30 . The breadth of the river 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 P meter smaller. The value of P is :

A tower stands at the end of a straight road. The angles of elevation of the top of the tower from two points on the road 500 m apart are 45 and 60 , respectively. Find out the height of the tower.

From the top of a 25 m high, cliff the angle of elevation of a tower is found to be equal to the angle of depression of the foot of the tower. Find out the height of the tower.

The angle of elevation of the top of a tower from a point 20 m away from its base is 45 . The height of the tower is :

The angle of elevation of the top of a hill from each of the vertices A, B, C of a horizontal triangle is . The height of the hill is :

A tower standing on a horizontal plane subtends a certain angle at a point 160 m apart from the foot of the tower. On advancing 100 m towards it, the tower is found to subtend an angle twice as before. The height of the tower is :

The ratio of the length of a rod and its shadow is 1: 3 .The angle of elevation of the sun is :

When the sun is 30 above the horizontal, the length of shadow cast by a building 50 m high is :

On the ground level the angle of elevation of the top of a tower is 30 , On moving 20 m nearer the tower, the angle of elevation found to be 60 . The height of the tower is ?

The angle of elevation of the sun, when the length of the shadow of a tree 3 times the height of the tree, is:

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30 and 45 respectively. If the lighthouse is 100 m high, the distance between the two ships is:

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:

The length of a shadow of a vertical tower is 1 3

The angles of depression of two ships from the top of a light house are 45 and 30 towards east. if the ships are 200 m apart, find the height of the light house .

The angle of elevation of the top of a TV tower from three points

A man is standing on the

A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of

At a point on a level plane a tower subtends an angle and a flag-staff a ft. in length at the top of the tower subtends an angle . The height of the tower is :

ABCD is a square plot. The angle of elevation of the top of a pole standing at D from A or C is 30 and that from B is then Tan

If a flag staff of

ABC is a triangular park with AB = AC = 100 meters. A clock tower is situated at the mid-point of BC. The angles of elevation of the top of the tower of A and B are cot

The length of a shadow of a vertical tower is 1
3
times of its height. The angle of elevation of the Sun is :

ABC is a triangular park with AB = AC = 100 meters. A clock tower is situated at the mid-point of BC. The angles of elevation of the top of the tower of A and B are cot^-1 (3.2) and cosec^-1(2.6) respectively. The height of the tower in meters is ?

The length of a shadow of a vertical tower is 1
3