Question

A kite is flying at a height of 30 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is ${60}^{\circ }$. Find the length of the string, assuming that there is no slack in the string.

• A. 20√3 m
• B. 30 m
• C. 30√3 m
• D. 60 m

Answer 1

Answer: (A), (B)

The correct options are
A

20√3 m

B

30 m

The situation can be represented by the figure below:

In the given right-angled traingle:
$sin\angle ACB=\frac{AB}{AC}\Rightarrow sin{60}^{\circ }=\frac{AB}{AC}\Rightarrow AC=\frac{AB}{sin{60}^{\circ }}=\frac{30}{\frac{\sqrt{3}}{2}}=\frac{60}{\sqrt{3}}=20\sqrt{3}\therefore Lengthofthestringis20\sqrt{3}m.$