Question

If the length of the shadow of a pole on ground is twice the length of the pole, then the angle of elevation of the sun is _____

• A. 30${}^o$
• B. 45${}^o$
• C. 60${}^o$
• D. None of these

Answer 1

The correct option is D None of these

Referring figure, if $AB$ is pole and $AC$ is length of the shadow of pole,

then $AB=x$, $AC=2x$

and let $\angle ACB=\theta$

Then, $\tan$$\theta$ = $\frac{AB}{AC}\Rightarrow \tan \theta =\frac{x}{2x}=\frac{1}{2}$

$\therefore$ Value of $\theta$ is neither 30${}^o$, 60${}^o$ nor 45${}^o$.

So, option D is correct.