Explore topic-wise MCQs in Maths.

The angle of elevation of the top of a tower from a point A on the ground is 30^o. On moving a distance of 20 m towards the foot of the tower to a point B, the angle of elevation increase to 60^o.The height of the tower is-

From the top of a lamp post of height x metres, two objects on the ground on the same side of it (and in line with the foot of the lamp post) are observed at angles of depression of 30 and 60 , respectively. The distance between the object is $$ {32{ sqrt{3}{ meter}}}$$. The value of x is:

An electrician has to repair an electric fault on a pole of height 4 m. He needs to reach a point 1.3 m below the top of the pole to un dertake the repair work the length of ladder that he should use, which when inclined at an angle of 60 to the horizontal would enable him to reach the required positions is :

There are two towers on a horizontal plane. The top of one tower makes an angle of 60 degrees from the horizontal on the original floor of the second tower. And the top of the second tower makes an angle of 30 degrees from the horizontal on the original floor of the first tower. Find the ratio of the height of the Towers.

The height of a light house is 20 meters above sea level. The angle of depression (from the top of the lighthouse) of a ship in the sea is 30 . What is the distance of the ship from the foot of the light house?

If the angle of elevation of the sun changes from 30^o to 45^o then length of the shadow of a pillar decreases by 20 meters. The height of the pillar is:

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

The angle of elevation of the foot of a house from the top of a tower is twice the angle made with the top of this house. If the height of the tower is 75 meters. And the elevation angle of the foot of the house from the top of the tower is 60 degrees. So what is the height of the house?

A kite is flying at a height of 50m. If the length of string is 100m then the inclination of string to the horizontal ground in degree measures is:

The distance between the tops of two building 38 metres and 58 metres and high is 52 metres. What will be the distance (in metres) between two building?

The angle of elevation of the top of a tree 220 metres high from two points lies on the same plane are 30 and 45 . What is the distance (in metres) between the two points?

There are two temples, one on each bank of a river just opposite to each other. One temple is 54m high. From the top of this temple, the angles of depression of the top and the foot of the other temple are 30 and 60 respectively. The length of the other temple is;

The angle of elevation of the top of a tower from two points A and B lying on the horizontal through the foot of the tower are 159 and 30 respectively. If A and B are on the same side of the tower and AB = 48 meter, then the height of the tower is;

The angle of elevation of the top of a tower from the point P and Q at distance 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 pole stands vertically inside a scalene triangular park ABC. If the angle of elevation of the top of the pole from each corner of the park is same, then in ABC, the foot of the pole is at the

The top of two poles of height 24 m and 42 m are connected by a wire. If the wire makes an angle of 60 with the horizontal, then the length of the wire is

A ladder 20 m long is leaning against a vertical wall. It makes an angle of 30 with the ground. How high on the wall does the ladder reach?

From a tower 125 metres high the angle of depression of two objects, which are horizontal line through the base of the tower are 45 and 30 and they are on the same side of the tower. The distance (in metres) between the objects is

A vertical pole and a vertical tower are standing on the same level ground. Height of the pole is 10 metres. From the top of the pole the angle of elevation of the top of the tower and the angle of depression of the foot of the tower are 60 and 30 respectively. The height of the tower is

A man standing on the bank of river observes that the angle subtended by a tree on the opposite bank is 60 . When he retrieves 36 m from the bank, he find that the angle is 30 . The breadth of the river is

The angles of elevation of the top of a tower as observed from the bottom and top of a building of height 80 metre are 60 and 45 respectively. The distance of the base of the tower from the base of the building is:-

Two poles of equal height are standing opposite to each other on either side of a road, which is 28 metre wide. From a point between them on the road, the angle of elevation of the top are 30 and 60 . The height of each pole is:-

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 sun changes form 30 to 45 , the length of the shadow of a pole decreases by 4 meters, the height of the pole is (Assume 3 = 1.732)

The angle of elevation of ladder leaning against a house is 60 and the foot of the ladder is 6.5 meters from the house. The length of the ladder is

From a point 20 m away from the foot of a tower, the angle of elevation of the top of the tower is 30 . The height of the tower is

The top of two poles of height 24m and 36 m are connected by a wire. If the wire makes an angle of 60 with the horizontal, then the length of the wire is

From two points on the ground lying on a straight line through the foot of a pillar, the two angles of elevation of the top of the pillar are complementary to each other. If the distance of the two points from the foot of the pillar are 9 meters and 16 meters and the two points lie on the same side of the pillar. Then the height of the pillar is

A vertical stick 12 cm long casts a shadow 8 cm long on the ground. At the same time, a tower casts a shadow 40 m long on the ground. The height of the tower is

If the angle of elevation of a balloon from two consecutive kilometer-stones along a road are 30 and 60 respectively, then the height of the balloon above the ground will be

The angle of elevation of the top of two vertical towers as seen from the middle point of the line joining the foot of the towers are 60 and 30 , respectively. The ratio of the heights of the tower is

The length of the shadow of a vertical tower on level ground increases by 10 meters when the altitude of the sun changes from 45 to 30 . Then the height of the tower is

If the angle of the elevation of sun is and the length of the shadow of a pole of length P is S, then

Ramesh stands 40 meters away from the foot of a tower, if the angle of elevation of the sun is 60 degrees at that point, what will be the height of the tower?

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

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

From an observation tower h meter above the level of river, the angle of depression of a point on the near shore is A and that of a point directly on the far shore is B . Find the width of the river.

From a point 12 meter above the water level, the angle of elevation of the top of a hill is 60 and the angle of depression of the base of the hill 30 . What is the height ( in meter) of the hill?

The angle of elevation of an airplane flying at 1500 altitude from the earth to the airport is 60 degrees, find the horizontal distance of the aircraft from the airport.

A tower standing on a horizontal plane subtends a certain angle at a point 160 cm a part from the foot of the tower. On advancing 100 meter towards the tower is found to subtend an angle twice as before. The height of tower is__

The angle of elevation of sun changes from 30 to 45 , the length of the shadow of a pole decreases by 4 meters, the height of the pole is (Assume 3 = 1.732)

From the peak of a hill which is 300m high, the angle of depression of two sides of a bridge lying on a ground are 45 and 30 (both ends of the bridge are on the same side of the hill). Then the length of the bridge is

The shadow of a tower standing on a level plane is found to be 30 metre longer when the Sun's altitude changes from 60 to 45 . The height of the tower is

From a point P on the ground the angle of elevation of the top of a 10m tall building is 30 . A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from P is 45⁰. Find the length of the flagstaff (Take 3 = 1.732)

A pilot in an aeroplane at an altitude of 200 m observes two points lying on either side of a river. If the angles of depression of the two points be 45 and 60 , then the width of the river is

A telegraph post is bent at a point above the ground. Its top just touches the ground at a distance of 8 3 m from its feet and makes an angle of 30 with the horizontal. The height (in metre) of the post is

The shadow of a tower when the angle of elevation of the sun is 45 , is found to be 10 m longer that when it was 60 . The height of the tower is

The angles of elevation of top and bottom of flag kept on a flag post from 30 metres distance, are 45 and 30 respectively. Height of the flag is [ taking 13 = 1.732)

A person from the top of a hill observes a vehicle moving towards him at a uniform speed. It takes 10 minutes for the angle of depression to change from 45 to 60 . After this the time required by the vehicle to reach the bottom of the hill is

129 meter from the foot of a cliff on level of ground, the angle of elevation of the top of cliff is 30 . The height of this cliff is