If the height of a vertical pole is $\sqrt{3}$ times the length of its shadow on the ground, then the angle of elevation of the sun at that time is
A. 30° B. 60° C. 45° D. 75° Answer: Option BShow Answer
Solution(By Apex Team)
Let AB be a vertical pole and let its shadow be BC
Let BC = x m, then length of pole $=\sqrt{3} x$
$\theta$ be the angle of elevation
$\begin{array}{l}
\therefore \tan \theta=\frac{A B}{B C}=\frac{\sqrt{3} x}{x}=\sqrt{3} \\
=\tan 60^{\circ} \\
\therefore \theta=60^{\circ}
\end{array}$
Let BC = x m, then length of pole $=\sqrt{3} x$
$\theta$ be the angle of elevation
$\begin{array}{l}
\therefore \tan \theta=\frac{A B}{B C}=\frac{\sqrt{3} x}{x}=\sqrt{3} \\
=\tan 60^{\circ} \\
\therefore \theta=60^{\circ}
\end{array}$
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