Question

A point C on the level ground is at some distance from a 15 m pole AB. If the angle of elevation of the top of the pole from point C is 30°, then how far is point C from the foot of the pole?

• A. ($15\sqrt{3}+1)m$
• B. 15m
• C. $15\sqrt{3}m$
• D. 20m

Answer 1

The correct option is C

$15\sqrt{3}m$

The situation is represented in the figure below

$tan{30}^{\circ }=\frac{AB}{BC}\Rightarrow BC=\frac{AB}{tan{30}^{\circ }}=\frac{15}{\frac{1}{\sqrt{3}}}=15\sqrt{3}m\therefore DistanceofpointCfrompoleis15\sqrt{3}m$