Answer: the angle of elevation of the kite is 53.13°
Step-by-step explanation:
The string of the kite, the vertical distance from a point to where the boy is standing and his angle of elevation forms a right angle triangle.
The string of the kite represents the hypotenuse of the right angle triangle.
The distance of the boy from a point directly under the kite represents the adjacent side of the right angle triangle. To determine the angle of elevation, θ, we would apply the cosine trigonometric ratio.
Cos θ = adjacent side/hypotenuse. Therefore,
Cos θ = 30/50 = 0.6
θ = Cos^-1(0.6)
θ = 53.13°
