A kite is flying at a height of 60 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°. Find the length of the string, assuming that there is no slack in the string.

Solution:

Draw a figure based on the instructions provided,

Let BC be the height of the kite from the ground, i.e., BC = 60 m

Inclined length of the string from the ground = AC, and

A is the point where the kite’s string is tied.

To Find: The value of AC i.e. the length of the string from the ground

From the above given figure,

BC/AC = sin 60°

⇒ 60/AC = √3/2

⇒ AC = 40√3 m

As a result, 40√3 m is the length of the string from the ground.