Question

A kite is flying at a height of 150 m from the ground. It is attached to a string inclined at an angle of 30° to the horizontal. The length of the string is ______.

पर्याय

• `100 sqrt3` m

• 300 m

• `150 sqrt 2` m

• `150 sqrt3` m

Answer 1

A kite is flying at a height of 150 m from the ground. It is attached to a string inclined at an angle of 30° to the horizontal. The length of the string is 300 m.

Explanation:

Explanation:

Let the length of the string be x m 

`sin 30^circ = ("opposite side")/("hypotenuse")​`

`sin 30^circ = (QR)/(PR)​`

`sin 30^circ = 150/x `

`=> 1/2 = 150/x`

`=> x = 150 xx 2`

∴ x = 300 m

So the length of the string is 300 m