Distance traveld by a ship:

A ship travels 50km on a bearing of 27 degrees, then travels on a bearing of 117 degrees for 140 km. Find the distance traveled from the starting point to the ending point.

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- Jul 17th 2008, 05:25 PM #1

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- Jul 17th 2008, 05:30 PM #2

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- Jul 17th 2008, 05:40 PM #3

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- Jul 17th 2008, 06:07 PM #4

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The correct answer is approximately 148.66. In general, you need to know the turning angle for these types of problems. You would be using the law of cosines: $\displaystyle c^2 = a^2 + b^2 - 2ab \cos C$, where C is the turning angle. In this case it was simpler because the turning angle is 90 degrees.