Question

If the angle of elevation of the sun is ${60}^{\circ }$, find the length of the shadow of a vertical pillar of height $h.$

• A. $\frac{h}{\sqrt{3}}$
• B. $h\sqrt{3}$
• C. $h\sqrt{2}$
• D. $\frac{h}{\sqrt{2}}$

Answer 1

The correct option is A $\frac{h}{\sqrt{3}}$

Let $x$ be the length of the shadow.

Then,

$\tan {60}^{\circ }=\frac{h}{x}$

$\Rightarrow x=\frac{h}{\sqrt{3}}$

Therefore, the length of the shadow of the tower is equal to $\frac{h}{\sqrt{3}}.$