Question

Find the angle of elevation of the sun when the length of the shadow of a person is equal to $\sqrt{3}$ times of his height.

Answer 1

Let the height of person be $x$

Length of the shadow is $\sqrt{3}x$

$\tan \theta =\frac{x}{\sqrt{3}x}=\frac{1}{\sqrt{3}}$

$\theta =30°$

So the angle of elevation is $\theta =30°$