1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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:

    tan60=210sinx/(210cosx+40)
    1.73=210sinx/210cosx+40
    69.2+363cosx=210sinx
    0.329+1.728cosx=sinx
    0.329=sinx-1.728cosx

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

    gneill

    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).
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Solving trig problem for trajectory
  1. Trajectory Problem (Replies: 3)

  2. Trajectory Problem (Replies: 35)

  3. Trajectory Problem (Replies: 1)

Loading...