Question

The height of a tree is $\sqrt{3}$ times the length of its shadow. Find the angle of elevation of the sun.

Answer 1

Let's assume the length of the shadow of the tree to be $x$ m.
So, the height of the tree =$\sqrt{3}xm$
If $\theta$ is the angle of elevation of the sun, then we have
$tan\theta =\sqrt{3}x/x=\sqrt{3}=tan{60}^0$
Therefore, $\theta ={60}^0$