Question

The shadow of pole is 1/3 times of its height, then angle of the elevation of the sun is

• A. 15º
• B. 30º
• C. 45º
• D. 60º

Answer 1

The correct option is D 60º


Let the height of pole be h
$tan\theta =\frac{\text{perpendicular}}{\text{base}}$
$=\frac{AB}{BC}$
$=\frac{h}{1/\sqrt{3}h}=\frac{\sqrt{3}h}{h}$
$\Rightarrow tan\theta =\sqrt{3}$
So, $\theta ={60}^o$
Correct answer is option d.