Geometry question

Question

A kite flown by Emily attains an altitude of 200 feet above ground level. If the angle of elevation of the kite is 72 degrees what is the length of the string to the nearest foot?

Answer 1

Let L= length of the string

H= Altitude of the kite

sin θ = H / L

sin (72°) = 200 / L

L = 200 / sin (72°)

L ≈ 210 ft.

Answer 2

altitude of 200 is side opposite angle of elevation

length of string is hypotenuse of right triangle

sin(72) = 200/length of string

length of string = 200/sin(72)

length of string = 210.29 feet ~ 210 feet