The angle of elevation of the sun, when the length of the shadow of a tree √3 times the height of the tree, is:
A. 30º B. 45º C. 60º D. 90º Answer: Option AShow Answer
Solution(By Apex Team)
We can use the following for checking the trigonometric values
$\begin{array}{l}
\text { Let } \angle \mathrm{ACB}=\theta \\
\frac{A C}{A B}=\cot \theta \\
\frac{A C}{A B}=\sqrt{3} \\
\cot 30^{\circ}=\sqrt{3} \\
\therefore \theta=30^{\circ}
\end{array}$
$\begin{array}{l}
\text { Let } \angle \mathrm{ACB}=\theta \\
\frac{A C}{A B}=\cot \theta \\
\frac{A C}{A B}=\sqrt{3} \\
\cot 30^{\circ}=\sqrt{3} \\
\therefore \theta=30^{\circ}
\end{array}$
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