Question

If the height of a vertical pole is $\sqrt{3}$ times the length of its shadow on the ground then find the angle of elevation of the sun at that time.

Answer 1

Let the height of the tower be $h$

$\therefore$height of the shadow$=\sqrt{3}h$

In a $△ABC,$

$\tan \angle ACB=\frac{h}{\sqrt{3}h}$

$\Rightarrow \tan \angle ACB=\frac{1}{\sqrt{3}}$

$\therefore \angle ACB={60}^{\circ }$

Therefore, angle of elevation is ${30}^{\circ }$.