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Solving trig problem for trajectory

  1. Feb 28, 2012 #1
    Need to find the angle at which a plane should aim if when travelling at 210km/h with a 40km wind east produces a resultant angle of 60 degrees. I can write that 60=tan^-1(210sin60/(210cos60+40)

    and proceed from there:


    is there a trig law i can do to simplify? Thanks all, will keep at it!
  2. jcsd
  3. Feb 28, 2012 #2


    User Avatar

    Staff: Mentor

    You can use the sin2 + cos2 = 1 identity to replace sin or cos in your equation. Isolate the square root on one side and square both sides to eliminate it. You'll end up with a quadratic in either cos(x) or sin(x).
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