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an airplane is flying at 550 km/h on a heading of 080. the wind is blowing at 60 km/h from a bearing of 120. Find the ground velocity of the airplane.

Please Help! Thanks in advance.

  • math -

    Vp = (550km/h,80deg) + (60km/h,120dg).

    X = hor = 550cos80 + 60cos120,
    X = 95.51 + (-30) = 65.51km/h.

    Y = ver = 550sin80 + 60sin120,
    Y = 541.6 + 51.96 = 593.6km/h.

    Vp^2=(65.51)^2 + ((593.6)^2=356,652.5,
    Vp = 597.2km/h = Speed of plane.

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