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Convert \( \frac{3\pi}{4} \) radians to degrees. 11. Choose the correct answer. Cynthia is flying a kite in...

Convert \( \frac{3\pi}{4} \) radians to degrees.
11. Choose the correct answer.
Cynthia is flying a kite in her back pasture. She has let out 50 meters of kite string and the string makes an angle of elevation with the ground of 42°. How high is the kite flying, to the nearest tenth of a meter?

Answer

  1. To convert radians to degrees, use the formula: Degrees = Radians × (180/π).
    \( \frac{3\pi}{4} \) radians × (180/π) = 135°.
    Answer: 135°

  2. To find the height of the kite, use the sine function: sin(angle) = opposite/hypotenuse.
    sin(42°) = x/50
    x = 50 × sin(42°)
    x ≈ 33.4 meters.
    Answer: 33.4 meters

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