A sailor in a small boat encounters shifting winds. She sails 8 km south, then 15 km 30 E of N, and then 12 km 25 N of W. Use any method to determine the magnitude of her resultant displacement in kilometers
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Expert's answer
2020-07-06T15:25:36-0400
The resultant displacement is shown on the figure (OC).
Let's denote the origin as O. Then, using the law of cosines, from the triangle AOB find:
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