Question

It is found that on walking x meters towards a chimney in a horizontal line through its base, the elevation of its top changes from 30° to 60°. The height of the chimney is

(a) $3\sqrt{2}x$

(b) $2\sqrt{3}x$

(c) $\frac{\sqrt{3}}{2}x$

(d) $\frac{2}{\sqrt{3}}x$

Answer 1

Let be the height of chimney

Given that: angle of elevation changes from angle to .

Then Distance becomes and we assume

Here, we have to find the height of chimeny.

So we use trigonometric ratios.

In a triangle,

Again in a triangle ABD,

Hence the correct option is .