Question

Choose the correct option for the following.

A kite is flying at a height of $60$ m above the ground. The string attached to the kite is temporarily tied to the ground. The inclination of the string with the ground is ${60}^{\circ }$, then the length of the string, assuming that there is no slack in the string is $69.2$ m. $(\sqrt{3}=1.73)$

• A. True
• B. False
• C. Ambiguous
• D. Data insufficient

Answer 1

The correct option is A True

Height of the kite = $60$ m

Angle made by the string with the ground, = ${60}^{\circ }$.

The kite, string, and the ground form a right-angled triangle

Thus, $\sin 60=\frac{60}{string}$

$\frac{\sqrt{3}}{2}=\frac{60}{string}$

$string=\frac{120}{\sqrt{3}}$

Length of string $=69.2$ m