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√3
• B. 200/√3
• C. 50√3
• D. 100/√3

Answer 1

The correct option is C

50√3

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