Question

A kite is flying at a height of 30 metres from the level ground, attached to a string inclined at 60° to the horizontal. The length of string is ______.

Options

• `5sqrt(3)` m

• `10sqrt(3)` m

• `15sqrt(3)` m

• `20sqrt(3)` m

Answer 1

A kite is flying at a height of 30 metres from the level ground, attached to a string inclined at 60° to the horizontal. The length of string is `underlinebb(20sqrt(3)  m)`.

Explanation:

Let the string length be L.

The vertical height = L · sin 60° = 30. 

Since `sin 60^circ = sqrt(3)/2`, 

L = `30/(sqrt(3)/2)` 

= `60/sqrt(3)` 

= `20sqrt(3)` m