Question

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

• A. ${30}^o$
• B. ${70}^o$
• C. ${60}^o$
• D. ${40}^o$

Answer 1

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

Shadow of building on ground (S) = $2\sqrt{3}$ m
Length of building = 6 m
Angle of elevation of Sun = $\theta$
Now, $\tan \theta =\frac{6}{2\sqrt{3}}$
$\tan \theta =\sqrt{3}$
$\tan \theta =\tan {60}^{\circ }$
$\theta ={60}^{\circ }$