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

sin 75° =h/80
h = 80 * sin 75°
   =77.3m

Answer 2

Answer:

The height of the kite from the ground is 77.28 meters.

Step-by-step explanation:

As given

Sam is flying a kite.

The length of the kite string is 80 meters, and it makes an angle of 75° with the ground.

Now by using the trignometric identity .

$Sin \theta = \frac{Perpendicular}{Hypotenuse}$

As the figure is given below .

Perpendicular = AC

Hypotenuse = AB = 80 meters .

$\theta = 75^{\circ}$

Putting all the values in the trignometric identity .

$Sin75^{\circ} = \frac{AC}{AB}$

$0.966\ (Approx) = \frac{AC}{80}$

AC = 80 × 0.966

AC = 77.28 meters

Therefore the height of the kite from the ground is 77.28 meters.