physics

what air speed and heading would enable a plane to travel [NE] with a ground speed of 275 km/h if there is a wind blowing at 55 km/h from the south?

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asked by joy
  1. Vp+Vw = 275km[45o]
    Vp + 55km[90o] = 275[45o]
    Vp + 55i = 275*cos45 + i275sin45
    Vp + 55i = 194.45 + 194.45i
    Vp = 194.45 + 194.45i - 55i
    Vp = 194.45 + 139.45i = 239.3km[35.6o] =
    Velocity and heading of plane.

    Check:
    194.45+139.45i + 55i =
    194.45 + 194.45i = 275[45o]

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    posted by Henry

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