Question

The length of the shadow of a tower standing on level ground is found to be 2x metres longer when the sun's elevation is 30°than when it was 45°. The height of the tower in metres is

(a) $\left(\sqrt{3}+1\right)x$

(b) $\left(\sqrt{3}-1\right)x$

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

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

Answer 1

Let be the height of tower

Given that: angle of elevation of sun are and.

Then Distance and we assume

Here, we have to find the height of tower.

So we use trigonometric ratios.

In a triangle,

Again in a triangle ABD,

Hence the correct option is .