Trigonometric l...

From a point a metre above a lake the angle of elevation of a cloud is α and the angle of depression of its reflection is β. The height of the cloud is

ABCD is a rectangular field. A vertical lamp post of height 12 m stand at the corner A. If the angle of elevation of its top from B is 60^o and from C is 45^o, then the area of the field is

The shadow of a tower is found to be 60 metre shorter when the sun’s altitude changes from 30^o to 60^o. The height of the tower from the ground is approximately equal to

At a distance 2h from the foot of a tower of height h, the tower and a pole at the top of the tower subtend equal angles. Height of the pole should be

A house subtends a right angle at the window of an opposite house and the angle of elevation of the window from the bottom of the first house is 60^o. If the distance between the two houses be 6 metres, then the height of the first of the first house is

The angle of elevation of the sun, when the shadow of the pole is √3 times the height of the pole is

A ladder rests against a wall so that its top touches the roof of the house. If the ladder makes an angle 60^o with the horizontal and height of the house he 6√3 metres, then the length of the ladder is

If the angles of elevation of two from the middle point of the line joining their feet be 60^o and 30^o respectively, then the ration of their heights is

At a point on the ground the angle of elevation of a tower is such that its cotangent is 3/5. On walking 32 metres towards the tower the cotangent of the angle of elevation is 2/5. The height of the tower is

A ladder rests against a wall making an angle α with the horizontal. The foot of the ladder is pulled away from the wall through a distance x, so that it slides a distance y down the wall making an angle β with the horizontal. The correct relation is