Posted by Anonymous on Tuesday, September 21, 2010 at 6:37pm.
I don't know what you have been taught. If you make a sketch, put the vectors head to tail, you have a triangle with two known legs, with the included angle (64deg) known. You can find the other side with the law of cosines.
Then, with the law of sines, find the angle of it (with very little geometry).
Or, you can do it graphically.
Or, you can break up each vector into N and E components, then add both vectors, and then put them back together.
I would use the law of cosines, sines.
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