Question

If a flag-staff of $6m$ height placed on the top of a tower throws a shadow of $2\sqrt{3}m$ along the ground, then what is the angle that the sun makes with the ground?

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

Answer 1

Answer: (A)

${60}^o$

Let the Angle be $x$

and Length of shadow$=2\sqrt{3}m$

Length of Tower $=6m$

So, $\tan x=\frac{6}{2\sqrt{3}}\Rightarrow \tan x=\sqrt{3}\Rightarrow \angle x={60}^o$

Hence, the answer is ${60}^o$.