Question

When the length of the shadow of a pole is equal to $\frac{1}{\sqrt{3}}$ times the height of the pole, then find the angle of elevation of source of light.

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

Answer 1

The correct option is A ${60}^{\circ }$

Let AB be the pole of height h and BC is its shadow.

$tanC=\frac{h}{\frac{1}{\sqrt{3}}h}=\frac{\sqrt{3}}{1}C={60}^{\circ }$
$\therefore$The angle of elevation of source of light is ${60}^{\circ }$