Question

If the height of a pole is $2\sqrt{3}$ meters and the length of its shadow is $2$ meters, then find the angle of elevation of the sun.

Answer 1

Let A be the pole and AC be its shadow
Let angle of elevation $\angle ACB=\theta$
Then $AB=2\sqrt{3}m,AC=2m$
$\tan \theta =\frac{AB}{AC}=\frac{2\sqrt{3}}{2}=\sqrt{3}$
$\Rightarrow \theta ={60}^0$
So the angle of elevation is ${60}^0$