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 ${30}^{\circ }$. Find the length of the string (in meters), assuming that there is no slack in the string.

• A. 60
• B. 40
• C. 30
• D. 20√3

Answer 1

The correct option is A

60

The given situation can be represented by the figure below

In the given right-angled triangle,
$sin{30}^{\circ }=\frac{AB}{AC}\Rightarrow AC=\frac{AB}{sin{30}^{\circ }}=\frac{30}{\frac{1}{2}}=60m$
$\therefore$ Length of the string is 60 m.