Question

Sam is flying a kite. the length of the kite string is 80 meters, and it makes an angle of 75° with the ground. the height of the kite from the ground is meters.

Answer 1

height equals 80 meters times sin(angle of 75 degrees)

h = 80 (0.966) = 77.27 meters height of kite from the ground

Answer 2

Height of the kite from ground is 77 m.

Explanation:

Given: Length of the kite string = 80 m

Angle of elevation = 75°

To find: Height of the kite from the ground.

Figure is attached.

In ΔABC

using trigonometric ratio,

`sin\,75^(\circ)=(AB)/(AC)`

`0.97=(AB)/(80)`

`AB=0.97*80`

AB = 77.27 m

AB = 77 m (approx.)

Therefore, Height of the kite from ground is 77 m.