Answer:
The angle that string of the kite makes with the ground is [tex]50^\circ[/tex].
Step-by-step explanation:
Given that, a kite flying 115 ft above the ground. The length of the string to the kite which is measured from the ground is 150 ft.
It form a right angled triangle.
Here hypotenuse of the triangle is 150 ft.
and opposite is 115 ft
We know that,
[tex]Sin \theta= \frac{Opposite}{Hypoteneuse}[/tex]
Putting the all values
[tex]\Rightarrow sin\theta=\frac{115}{150}[/tex]
[tex]\Rightarrow \theta=sin^{-1}(\frac{115}{150})[/tex]
[tex]\Rightarrow \theta \approx 50^\circ[/tex]
The angle that string of the kite makes with the ground is [tex]50^\circ[/tex].