Question

A tower subtends an angle of 30° at a point on the same level as its foot. At a second point h metres above the first, the depression of the foot of the tower is 60°. The height of the tower is

(a) $\frac{h}{2}m$

(b) $\sqrt{3h}m$

(c) $\frac{h}{3}m$

(d) $\frac{h}{\sqrt{3}}m$

Answer 1

Let AB be the tower and C is a point on the same level as its foot such that ∠ACB = 30°

The given situation can be represented as,

Here D is a point h m above the point C.

In ΔBCD,

Again in triangle ABC,

Hence the correct option is .