Physics

You are on an airplane traveling 30° south of due west at 130 m/s with respect to the air. The air is moving with a speed 30 m/s with respect to the ground due north.
One question..
2)
What is the heading of the plane with respect to the ground? (Let 0° represent due north, 90° represents due easth).

I'm having some trouble figuring out this question. If anyone could help me out it would be greatly appreciated. Thanks

  1. 0
  2. 0
  3. 35
asked by Cam
  1. speed north = 30 - 130 sin 30 = -35
    speed west = 130 cos 30 = 113

    tan angle south of west = 35/113

    so angle south of west = 17.2 deg

    so 270 - 17.2 = 253 on the compass rose

    1. 0
    2. 0
    posted by Damon

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