A child in danger of drowning in a river is being carried down-stream by a current that flows uniformly with a speed of 2.30 m/s . The child is 300 m from the shore and 2000 m upstream of the boat dock from which the rescue team sets out.   If their boat speed is 6.50 m/s with respect to the water, at what angle from the shore must the boat travel in order to reach the child?  Express your answer in degrees to three significant figures.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
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A child in danger of drowning in a river is being carried down-stream by a current that flows uniformly with a speed of 2.30 m/s . The child is 300 m from the shore and 2000 m upstream of the boat dock from which the rescue team sets out.

 

If their boat speed is 6.50 m/s with respect to the water, at what angle from the shore must the boat travel in order to reach the child? 
Express your answer in degrees to three significant figures.
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