Question

5. Richard is flying a kite. The kite string makes an angle of 57 with the ground. If
Richard is standing 100 feet from the point on the ground directly below the kite, find
the length of the kite string
So

Answer 1

Answer: the length of the kite string is 183.6 feet

Step-by-step explanation:

The string of the kite forms an angle of 57° with the ground thus, a right angle triangle is formed. Richard's distance from the point on the ground directly below the kite represents the adjacent side of the right angle triangle. The length of the kite, h represents the hypotenuse of the right angle triangle. To determine h, we would apply the cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse. Therefore,

Cos 57 = 100/h

h = 100/Cos57

h = 100 /0.5446

h = 183.6 feet