Questions in trigonometry

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The upper part of a tree broken over by the wind makes an angle of 30° with the ground and the distance from the root to the point where the top of the tree touches the ground is 10 m; what was the height of the tree
The angle of depression of a point situated at a distance of 70 metres from the base of a tower is 45°. The height of the tower is
The angular elevation of a tower CD at a point A due south of it is 60° and at a point B due west of A, the elevation is 30o. If AB = 3 km, the height of the tower is
A person is standing on a tower of height $15(\sqrt{3}+1)\,m$ and observing a car coming towards the tower. He observed that angle of depression changes from 30° to 45° in 3 sec. What is the speed of the car
Two men are on the opposite side of a tower. They measure the angles of elevation of the top of the tower 45° and 30° respectively. If the height of the tower is 40 m, find the distance between the men
The angles of elevation of the top of a tower (A) from the top (B) and bottom (D) at a building of height a are 30° and 45° respectively. If the tower and the building stand at the same level, then the height of the tower is
A ladder 5 metre long leans against a vertical wall. The bottom of the ladder is 3 metre from the wall. If the bottom of the ladder is pulled 1 metre farther from the wall, how much does the top of the ladder slide down the wall
The angle of elevation of the top of a pillar at any point A on the ground is 15°. On walking 40 metres towards the pillar, the angle become 30°. The height of the pillar is
The top of a hill observed from the top and bottom of a building of height h is at the angle of elevation p and q respectively. The height of the hills is
The shadow of a tower standing on a level ground is found to be 60 m longer when the sun's altitude is 30° than when it is 45°. The height of the tower is

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