Question

The angle of elevation of the sun; when the length of the shadow of a pole is $\frac{1}{\surd 3}$ times the height of the pole is -

• A.
• B.
• C.
• D. Cannot be determined

Answer 1

The correct option is A

Let PQ be the pole and QR be its shadow.

Let $\angle$PRQ = $\theta$

Then, $\frac{QR}{PQ}=\frac{1}{\sqrt{3}}\Rightarrow cot\theta =\frac{1}{\sqrt{3}}$

$\Rightarrow \theta ={60}^{\circ }$