Heights & Distances

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

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

An observer 2 m tall is $10\sqrt{3}$m away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The height of the tower is:

A ladder 10 m long just reaches the top of a wall and makes an angle of 60° with the wall.Find the distance of the foot of the ladder from the wall $(\sqrt{3}=1.73)$

Find the angle of elevation of the sun when the shadow of a pole of 18 m height is $6\sqrt{3}$m long?

From a point P on a level ground, the angle of elevation of the top tower is 30º. If the tower is 200 m high, the distance of point P from the foot of the tower is:

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

An observer 2 m tall is 10 √ 3 m away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The height of the tower is:

A vertical pole fixed to the ground is divided in the ratio 1:9 by a mark on it with lower part shorter than the upper part. If the two parts subtend equal angles at a place on the ground, 15 m away f

An aeroplane when 900 m high passes vertically above another aeroplane at an instant when their angles of elevation at same observing point are 60° and 45° respectively. Approximately, how many meters

When the sun’s altitude changes from 30° to 60°, the length of the shadow of a tower decreases by 70m. What is the height of the tower?

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

The top of a 15 metre high tower makes an angle of elevation of 60° with the bottom of an electronic pole and angle of elevation of 30° with the top of the pole. What is the height of the electric pol

The angle of elevation of the top of a tower from a certain point is 30°. If the observer moves 40 m towards the tower, the angle of elevation of the top of the tower increases by 15°. The height

Find the angle of elevation of the sun when the shadow of a pole of 18 m height is 6 √ 3 m long?

The angle of elevation of the top of the tower from a point on the ground is sin−1⁡(35). If the point of observation is 20 meters away from the foot of the tower, what is the height of the tower?

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 object

A ladder 10 m long just reaches the top of a wall and makes an angle of 60° with the wall.Find the distance of the foot of the ladder from the wall ( √ 3 = 1.73 )

From a tower of 80 m high, the angle of depression of a bus is 30°. How far is the bus from the tower?

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?

The angles of depression and elevation of the top of a wall 11 m high from top and bottom of a tree are 60° and 30° respectively. What is the height of the tree?

The thread of a kite is 120 m long and it is making 30° angular elevation with the ground .What is the height of the kite?

A tree bent by the wind .The top of the tree meets the ground at an angle of 60°.If the distance between the top of the foot be 8 m then what was the height of the tree?