Question

From the top of a cliff $25 m$ high the angle of elevation of a top of tower is found to be equal to the angle of depression of the foot of the tower. The height of the tower is-

• A. 25 m
• B. 50 m
• C. 75 m
• D. 100 m

Answer 1

Answer: (B)

In $\triangle ABC$
$\tan \alpha=\frac{25}{ x }$
In $\triangle ADE$
$\tan \alpha=\frac{ h -25}{ x }$

$\frac{25}{x}=\frac{h-25}{x} \Rightarrow h=50$ meter