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.

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

The kite string, the ground, and the height make a right triangle. The kite string is the hypotenuse, 80 meters. The angle between the ground and kite string is 40º.

sin40º = height/80

height = 80sin40º

height ≈ 51.423 meters

Step-by-step explanation:

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step-by-step explanation:

step-by-step explanation: