Question

A flagstaff $6$ metres high throws a shadow $2\sqrt{3}$ metres long on the ground. The angle of elevation is

• A. ${30}^o$
• B. ${45}^o$
• C. ${90}^o$
• D. ${60}^o$

Answer 1

The correct option is D ${60}^o$

Let $\theta$ be the angle of elevation.
Hence, $\tan \left(\theta \right)$ $=\frac{Heightofpole}{Lengthofshadow}$
$=\frac{6}{2\sqrt{3}}$
$=\sqrt{3}$
Hence. $\tan \theta =\sqrt{3}$
$\theta ={60}^0$