Question

The length of shadow of a tower is $\sqrt{3}$ times that of its height. Find the angle of elevation of the sun.

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

Answer 1

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

Given that,

$x=\sqrt{3}h$

and $\tan A=\frac{h}{x}\Rightarrow \tan A=\frac{h}{\sqrt{3}h}\Rightarrow \tan A=\frac{1}{\sqrt{3}}\Rightarrow A=\frac{\pi }{6}={30}^o$

Therefore, Answer is ${30}^o$