A small airplane is flying due east with a speed of 37.0 m/s with respect to the air. The wind is moving with a speed of 18.0 m/s at an angle of 21.0 degrees north of due west (in other words, the wind is moving in a northwest direction, but more west than north). What is the speed of the airplane with respect to the ground?

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A small airplane is flying due east with a speed of 37.0 m/s *with respect to the air*. The wind is moving with a speed of 18.0 m/s at an angle of 21.0 degrees north of due west (in other words, the wind is moving in a northwest direction, but more west than north). What is the *speed* of the airplane with respect to the ground? 

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Transcribed Image Text:A small airplane is flying due east with a speed of 37.0 m/s *with respect to the air*. The wind is moving with a speed of 18.0 m/s at an angle of 21.0 degrees north of due west (in other words, the wind is moving in a northwest direction, but more west than north). What is the *speed* of the airplane with respect to the ground? [Blank space for answer]
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