Question

A pole $15$ m long rests against a vertical wall at an angle of ${30}^{\circ }$ with the ground How high up the wall does the pole reach?

• A. $5$ m
• B. $7$ m
• C. $7.5$ m
• D. $8$ m

Answer 1

Answer: (C)

$7.5$ m

As shown in the fig. let $AB$ be the length of the pole.

$\sin {30}^{\circ }=\frac{x}{15}$

Or

$x=15\sin {30}^{\circ }=\frac{15}{2}=7.5$m