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If this last answer is true that means that the angle between the~~~~~~~~~~~~~~~~~~~~~~~
resultant and the northeast resultant is 57.88 degrees. This did not
seem right to me, so I figured that I would use the law of sine to solve
for the angle between the resultant and the northeast vector (theta 4).
Resultant velocity / sin (theta 2) = westward vector / sin (theta 4)
22.164 / sin 45 = 16.667 / sin (theta 4)
theta 4 = 32.12 degrees west of northeast