Question

If the angles of elevation of the top of a tower from two points distant a and b from the base and in the same straight line with it are complementary, then the height of the tower is

(a) ab

(b) $\sqrt{ab}$

(c) $\frac{a}{b}$

(d) $\sqrt{\frac{a}{b}}$

Answer 1

Let be the height of tower_.

Given that: angle of elevation of top of the tower are and .

Distance and

Here, we have to find the height of tower.

So we use trigonometric ratios.

In a triangle,

Again in a triangle ABD,

Put

Hence the correct option is .