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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.


Solution Preview

See attached file.


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.