Question

The angle of elevation of the top of a building from the foot of the tower is

30° and the angle of elevation of the top of the tower from the foot of the building is 60°. If the tower is 50 m high, find the height of the building.

Answer 1

Let AB be the building and CD be the tower.

In ΔCDB,

In ΔABD,

Therefore, the height of the building is.