Question

The ratio of the length of a pole and its shadow is 1: $\sqrt{3}$. The angle of elevation of the sun is :

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

Answer 1

The correct option is C ${30}^{\circ }$

$\tan \theta =\frac{h}{x}$

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

$\Rightarrow \tan \theta =\tan 30°$

$\Rightarrow \theta =30°$

Hence, the answer is $=30°.$