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Use the law of cosines to solve the problem. You must solve for BC first. Solve this problem in order.
A ship travels due west for 94 miles. It then travels in a northwest direction for 119 miles and ends up 173 miles from its original position. To the nearest tenth of a degree, how many degrees north of west (x) did it turn when it changed direction? Show your work.
Answered by oobleck
If the ship started at A, turned at B, and ended up at C, then we want to find angle B.
173^2 = 94^2 + 119^2 - 2*94*119 cosB
cosB = -1733/5593
B = 108°
so the ship turned x=72° north at B
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is oobleck correct?
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