Question

At a certain instant the ratio of the lengths of a pillar and its shadow are in the ratio $1:\sqrt{3}$ at that instant, the angle of elevation of the sun is:

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

Answer 1

The correct option is A ${30}^o$

$BC=$ Length of the pillar

$AB=$ Shadow of the pillar

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

$\theta ={\tan }^{-1}\left(\frac{1}{\sqrt{3}}\right)=\frac{\pi }{6}=3$

Angle of elevation $\theta ={30}^o$