Question

The angle of elevation of the top of the building from the foot of the tower is 30° and the angle 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 AD be the building of height h m. and an angle of elevation of top of building from the foot of tower is 30° and an angle of the top of tower from the foot of building is 60°.

Let AD = h, AB = x and BC = 50 and ,

So we use trigonometric ratios.

In a triangle,

Again in a triangle,

Hence the height of building is m.