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°. Find the length of the string, assuming that there is no slack in the string.

Options

• `20 sqrt3` m

• 30 m

• `30 sqrt 3` m

• 60 m

Answer 1

`20 sqrt3` m

Explanation:

The situation can be represented by the figure below:

In the given right-angled triangle:

`"sin" (angle "ACB") = "AB"/"AC"`

`=> "sin"60° = "AB"/"AC"`

`=> "AC" = "AB"/("sin" 60^circ)`

`= 30/(sqrt3/2) = 60/sqrt3`

`= 20 sqrt3`

`therefore  "Length of the string is"  20 sqrt3  "m"`