Question

From a point on the ground $100m$ away from the base of a building, the angle of elevation of the top of the building is $60°$ Which of the following is the best approximation for the height of the building?

• A. $172m$
• B. $173m$
• C. $174m$
• D. $175m$

Answer 1

The correct option is B $173m$

Let height of the building $=x$
$\tan 60°=\frac{x}{100}$
$\Rightarrow x=100\sqrt{3}=173m$