Question

The string of a flying kite is tied to a point on the ground. The length of the string between the kite and the point on the ground is 80 m. The string makes an angle of 30° with the ground. The height of the kite above the ground is ______.

Options

• `20sqrt3` m

• 40 m

• `40sqrt3` m

• `80sqrt3` m

Answer 1

The string of a flying kite is tied to a point on the ground. The length of the string between the kite and the point on the ground is 80 m. The string makes an angle of 30° with the ground. The height of the kite above the ground is 40 m.

Explanation:

`sin θ = "Opposite "/"Hypotenuse"`

`sin (30°) = (RQ)/(PR)`

`sin (30°) = "Height"/80`

`1/2 = "Height"/80`

2 × Height = 1 × 80

Height = `80/2`

Height = 40 cm