Question

If the altitude of the sun is at ${60}^{\circ }$ then the height of the vertical tower that will cast a shadow of length 20 m is

• A. $20\sqrt{3}m$
• B. $\frac{20}{\sqrt{3}}m$
• C. $\frac{15}{\sqrt{3}}m$
• D. $40\sqrt{3}m$

Answer 1

Answer: (A)

$20\sqrt{3}m$

Let the height of the tower be $h$

$\tan {60}^0=\frac{h}{20}$

$\Rightarrow \sqrt{3}=\frac{h}{20}$

$\Rightarrow h=20\sqrt{3}$m

$\Rightarrow h=20\times 1.732$m

$\therefore h=34.64$m