Question

The string of a kite is 150 m long and it makes an angle of 60° with the horizontal. Find the height of the kite from the ground.

Answer 1

Let h be the height of the kite.
PB be the length of string such that PB = 150 m.

In right-angled ΔBPA,

sin 60° = `h/150`

⇒ `sqrt3/2 = h/150`

⇒ h = `(150sqrt3)/2`

⇒ h = `75sqrt3`

h = 1.732 x 75
h = 129.9 m
Hence, the height of kite above the ground = 129.9 m.