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Choose the correct answer. Lynn is flying a kite in her yard. She has let out 25 meters of kite string and...

23. Choose the correct answer.
Lynn is flying a kite in her yard. She has let out 25 meters of kite string and the string makes an angle of elevation with the ground of 37°. How high is the kite flying, to the nearest tenth of a meter?
18.1 m
12.8 m
15.0 m
20.0 m

Answer

To find the height of the kite, we use the sine function in trigonometry, which relates the opposite side to the hypotenuse in a right triangle:

sin(angle) = opposite / hypotenuse

Here, the angle is 37°, the hypotenuse is 25 meters, and the opposite side is the height of the kite (x).

sin(37°) = x / 25

x = 25 * sin(37°)

Using a calculator, sin(37°) ≈ 0.6018

x ≈ 25 * 0.6018 ≈ 15.0 meters

The correct answer is 15.0 m.

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