Question

The string of a kite is 100m long and it makes an angle of ${60}^{\circ }$ with the horizontal. Find the height of the kite from the ground, assuming that there is no slack in the string.

• A. 100$\sqrt{3}$
• B. $\frac{200}{\sqrt{3}}$
• C. 50$\sqrt{3}$
• D. $\frac{100}{\sqrt{3}}$

Answer 1

The correct option is C

50$\sqrt{3}$

We know, angle of elevation = ${60}^{\circ }$
$\Rightarrow$ $\sin$ $\theta$ = $\frac{perpendicular}{hypotenuse}$
$\Rightarrow$ $\sin$ ${60}^{\circ }$ = $\frac{\sqrt{3}}{2}$ = $\frac{h}{100}$
$\Rightarrow$ h = 50$\sqrt{3}m$.