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Math Help - Help on precalculus plane vector problem

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    Help on precalculus plane vector problem

    A plane travels 170 miles at a heading of N 41 degrees W. It then changes direction and travels 165 miles at a heading of N 70 degrees W. How far is the plane from its original position?
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    Quote Originally Posted by lbj2322 View Post
    A plane travels 170 miles at a heading of N 41 degrees W. It then changes direction and travels 165 miles at a heading of N 70 degrees W. How far is the plane from its original position?
    Hint: Draw a picture.

    You should end up with a triangle with a = 165\textrm{miles} and b = 170\textrm{miles}, and the angle between them C = 151^{\circ}.

    Use the cosine rule to find c

    c^2 = a^2 + b^2 - 2bc\cos{C}.
    Last edited by Prove It; April 23rd 2009 at 11:20 PM.
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    wouldnt the angle between them have to be obtuse?
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    angle is actually 151 but thanks for giving me an idea of what to do
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    Quote Originally Posted by lbj2322 View Post
    angle is actually 151 but thanks for giving me an idea of what to do
    Yes it is sorry, that was a typo... Fixed.
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