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Choose the correct answer. Lago is flying a kite in his back yard. He has let out 20 meters of kite string...

23. Choose the correct answer.
Lago is flying a kite in his back yard. He has let out 20 meters of kite string and the string makes an angle of elevation with the ground of 48°. How high is the kite flying, to the nearest tenth of a meter?
17.8 m
8.5 m
14.9 m
11.1 m

Answer

To find the height of the kite, we use the sine function in trigonometry, which relates the angle of elevation to the opposite side (height) and the hypotenuse (length of the string):

sin(48°) = height / 20

Solving for height:

height = 20 * sin(48°)

Using a calculator, sin(48°) ≈ 0.7431.

Therefore, height ≈ 20 * 0.7431 ≈ 14.9 meters.

The correct answer is 14.9 m.

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