Question

A boy flying a kite is standing 30 ft from a point directly under the kite. If the string to the kite is 50 ft long, what is the angle of elevation of the kite (the angle between the ground where the boy is standing and the kite string?

Answer 1

250

Explanation:

because if he's directly under it that means it's a straight line

Answer 2

Answer: the angle of elevation of the kite is 53.13°

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°