(Q8) The angle of elevation of the top of a building from the foot of the tower is 30^o and the angle of elevation of the top of the tower from the foot of the building is 60^o. If the tower is 30 m high, find the height of the building.

Solution :

Height of the tower = 30 m

Angle of elevation of the top of the tower = 60°.

Angle of elevation of the top of the building = 30°

Let the distance between the foot of the tower and foot of the building be d m and height of the building be x m.

From the figure

Put d value

∴ Height of the building = m