Question

A hill slopes upwards at an angle of ${30}^{\circ }$ with horizontal. At height the man will be , if he walks 100 m up the hill.

• A. 30 m
• B. 40 m
• C. 50 m

Answer 1

The correct option is C 50 m

Let "h" be the height to which the man reaches when he walks 100 m up the hill.

$sin{30}^{\circ }=\frac{h}{100}$
$sin{30}^{\circ }=\frac{1}{2}$
$\Rightarrow$ $h=\frac{1}{2}\times 100=50m$