Question

An observer $\sqrt{3}m$ tall is $3m$ away from the pole $2\sqrt{3}m$ high. The angle of elevation of the top from the pole is:

• A. ${45}^o$
• B. ${30}^o$
• C. ${60}^o$
• D. ${15}^o$

Answer 1

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

Now consider the below figure
$\tan \theta =\frac{(2\sqrt{3}-\sqrt{3})}{3}$
$=\frac{\sqrt{3}}{3}$
$=\frac{1}{\sqrt{3}}=\tan {30}^0$
Hence
$\tan \theta =\tan {30}^0$
$\theta ={30}^0$