There is a 10 m tall tower between two parallel roads. The angles of depressions of the roads from the top of the tower are 30$$^\circ$$​ and 45$$^\circ$$​ respectively. Approximately how far are the roads from each other.

A boy flying a kite holds the string of length 24.4 m such that it makes an angle of 30° with the ground. Find the height of the kite from the ground.

A ladder makes an angle of 60° with the ground and its bottom is 3.7 m away from the wall. Find its length.

Aditya is standing on a light house of 150 m height and watching two boats on either side with angles of depression of 30^o and 60^o, respectively. Find the distance between the two boats.

A flagstaff stands on the top of a building. At a distance of 30 m away from the foot of the building, the angle of elevation of the top of the flagstaff is 60° and the angle of elevation of the top of the building is 30°. Find the height (in metres) of the flagstaff.

The angles of elevation of the top of a tower from two points X and Y (on opposite sides of the tower) at distances b² m and a² m, respectively, from the base and in the same straight line with it are complementary. The height (in m) of the tower is ________.

A ladder 14 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, then the height of the wall is:

The length of a vertical rod and its shadow are in the ratio of $$2:\sqrt{12}.$$ Find the angle of elevation of the sun.​

The angle of elevation of the top of a tower from a point on the ground, which is 48 m away from the foot of the tower is 30°. Find the height of the tower.

A vertical stick 14 m long, casts a shadow 5 m long on the ground. At the same time, a tower casts a shadow of 44.5 m long on the ground. The height of the tower is _____.​

The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.5 m away from the wall.
The length of the ladder is: ​