Question

A student lets out 100 feet of string on a kite from a hand height of 3 feet. The angle between horizontal hand height and the kite is 25. Find the height of the kite above the ground, to the nearest foot. If the 25 is the reference angle what side do you have to solve for?

Answer 1

Solve the opposite side

Height is 45 feet.

Explanation:

sin(θ) is the ratio of the opposite side to the hypotenuse

opposite side is the height and hypotenuse is the length of the string

100 Sin 25 gives the height from the hand.

100 x sin25 = 100 x 0.4226 = 42.26 feet from the hand.

Since the hand is 3 feet above the ground height is = 3+ 42.26 ≅ 45