100 POINTS. Quinn is flying a kite. The angle of elevation formed by the kite string and the ground is 40°, and the kite string forms a straight segment that is 100 feet long. Explain how to find the distance between the ground and the kite. Include a description of the triangle you drew to help you solve, including the variables and measurements you assigned to each side and angle. Round your answer to the nearest foot.

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Step-by-step explanation:

We have been given the angle (40°), the hypotenuse (100 ft), and we are being asked for the height (h) above the ground. Using the triangle formed, the appropriate trig ratio is sine because sin(θ) = opposite/hypotenuse where θ = 40°, the hypotenuse = 100, and the opposite = h. So:

sin(40°) = h/100

Multiplying both sides by 100 gives:

h = 100•sin(40°)

h = 100•(0.6427876)

h = 64 feet

Step-by-step explanation:

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