Question

A kite is flying at a height of 50 meters. The string of the kite makes an angle with the ground. If the length of the string is 70 meters, what angle does the string make with the ground?(1 point)
Responses

15.57°
°
15.57degree

45.58°
°
45.58degree

25.57°
°
25.57degree

35.57°
°
35.57degree

Answer 1

Let θ be the angle. Then sin θ = opposite/hypotenuse = 50/70 = 5/7, so

θ = arcsin(5/7) ≈ 45.58°.

Answer: 45.58°.