Math

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An airplane's velocity with respect to the air is 580 miles per hour, and it is heading N 60 degrees W. The wind, at the altitude of the plane, is from the southwest and has a velocity of 60 miles per hour. What is the true direction of the plane, and what is its speed woth respect to the ground?

I have no idea where to start!

  • Math -

    North speed = v
    East speed = u

    Wind u = 60 cos 45 = 42.4
    Wind v = 60 sin 45 = 42.4

    plane u = -580 sin 60 = -502
    plane v = +580 cos 60 = +290

    total u = 42.4 - 502
    total v = 42.4 + 290

    now do sqrt (u^2 + v^2)
    and tan^-1 (v/u)

  • Math -

    Thank you!!

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