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Boat leaves one bank of a river so as to arrive downstream across river.

SEE ATTACHMENT #1 for a diagram showing known parameters.

A boat leaves one bank of a river and heads in such a direction as to arrive at a point downstream and across the river.

A certain river is 2000 meters wide and flows Southward at 6.2 m/sec. The boat's speed relative to the water is 15 m/sec. From a point on the West bank the boat points in such a direction that it travels in a straight line to point Q on the East bank, 550 meters downstream. Find the direction the boat must point to do this.

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Solution Preview

See attached file.

Solution:

Step 1.
Note that the angle c, between river current and downstream, is found to be 15 deg.

Step 2.
The actual velocity of a boat over the ground, is the vector sum of two velocities: the ...

Solution Summary

With accompanying graph and good explanations, the problem is solved.

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