Question

An electric pole is 10 meters high. If its shadow is $10\sqrt{3}$ meters in length, find the elevation of the sun.

Answer 1

The angle formed by the shadow's farthest point with the pole's top is the angle of elevation of the sun.

$\tan \theta =\frac{10}{10\sqrt{3}}$

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

Since,

$\tan {30}^0=\frac{1}{\sqrt{3}}$

So,

The angle of elevation is ${30}^0$.

Hence, this is the answer.