Questions in trigonometry

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Some portion of a 20 meters long tree is broken by the wind and the top struck the ground at an angle of 30°. The height of the point where the tree is broken is
The base of a cliff is circular. From the extremities of a diameter of the base the angles of elevation of the top of the cliff are 30° and 60°. If the height of the cliff be 500 metres, then the diameter of the base of the cliff is
The angle of elevation of the top of a tower from the top of a house is 60° and the angle of depression of its base is 30°. If the horizontal distance between the house and the tower be 12 m, then the height of the tower is
A man whose eye level is 1.5 metres above the ground observes the angle of elevation of a tower to be 60°. If the distance of the man from the tower be 10 meters, the height of the tower is
A tower subtends an angle of 30° at a point distant d from the foot of the tower and on the same level as the foot of the tower. At a second point h vertically above the first, the depression of the foot of the tower is 60°. The height of the tower is
A tower of height b subtends an angle at a point O on the level of the foot of the tower and at a distance a from the foot of the tower. If a pole mounted on the tower also subtends an equal angle at O, the height of the pole is
A tree is broken by wind, its upper part touches the ground at a point 10 metres from the foot of the tree and makes an angle of 45° with the ground. The total length of tree is
The angle of depression of a ship from the top of a tower 30 metre high is 60°, then the distance of ship from the base of tower is
The angle of elevation of a stationary cloud from a point 2500 m above a lake is 15° and the angle of depression of its reflection in the lake is 45°. The height of cloud above the lake level is
From an aeroplane vertically over a straight horizontally road, the angles of depression of two consecutive mile stones on opposite sides of the aeroplane are observed to be $\alpba$ and $\beta$, then the height in miles of aeroplane above the road is

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