Question

The shadow of a building is $100m$ long when the angle of elevation of the sun is ${60}^o$. Find the height of the building.

• A. $152.6m$
• B. $177.8m$
• C. $160.5m$
• D. $173.2m$

Answer 1

Answer: (D)

$173.2m$

Shadow of building on ground (S) = 100 m
Angle of elevation of Sun = ${60}^{\circ }$
Let length of building = H
Now, $\tan 60=\frac{H}{S}$
$\sqrt{3}=\frac{H}{S}$
$H=100\sqrt{3}$
$H=173.2$ m