Question

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

• A. $50\sqrt{3}$ m
• B. $100\sqrt{3}$ m
• C. $50\sqrt{2}$ m
• D. $100$ m

Answer 1

The correct option is A $50\sqrt{3}$ m

Let $h$ be the height of the kite.

Then, in $△ACB,$

$\Rightarrow \sin 60°=\frac{AB}{AC}=\frac{h}{100}$

$\Rightarrow \frac{\sqrt{3}}{2}=\frac{h}{100}$

$\Rightarrow h=\frac{\sqrt{3}\times 100}{2}=50\sqrt{3}m$

$\therefore$ Height of the kite is $50\sqrt{3}m.$

Hence, the answer is $50\sqrt{3}m.$