Question

The string of a kite is 180 meters long and it makes an angle of 30º with the horizontal. If there is no slack in the string, then the height of the kite is

• A. 90 m
• B. $30\sqrt{3}m$
• C. $60\sqrt{3}m$
• D. $90\sqrt{3}m$

Answer 1

The correct option is A 90 m

Let the kite be at point K at a distance of h from the ground.
In ∆KLM,
$sin{30}^o=\frac{KL}{KM}$
$\Rightarrow \frac{1}{2}=\frac{h}{180}$
$\Rightarrow h=90m$
Thus, the height of the kite is 90 m.
Hence, the correct answer is option (a).