From the of a vertical building of `50sqrt3 m ` height on a level ground the angle of depression of an object on the same ground is observed to be `60^@`. Find the distance of the object from the foot of the building.

A window in a building is at a height of 10 m from the ground. The angle of depression of a point P on the ground from the window is 30^(@) . The angle of elevation of the top of the building from the point P is 60^(@) . Find the height of the building.

From a tower 128 m high, the angle of depression of a car is 30°. Find the distance of the car from the tower

The angle of elevation of a cloud from a point 60 m above a lake is 30^(@) and the angle of depression of the reflection of the cloud on the lake is 60^(@) . Find the height of the cloud from the surface of the lake.

A ladder 25m long reaches a window of building 20m above the ground. Determine the distance from the foot of the ladder to the building.

A ladder 10 m long reaches a window 8 m above the ground. Find the distance of the foot of the ladder from base of the wall.

Two men on either side of a building 75 m high and in line with the base of building observe the angles of elevation of the top of the building as 30^(@) and 60^(@) . Find the distance between the two men.

A verticle pole of height 6m casts a shadow 4m long on the ground, and at the same time a tower on the same ground casts a shadow 28m long. Find the height of the tower.