SOLUTION: The pilot of a ferry boat wishes to head directly across a river flowing due south, but is faced with a river current of 5 mph downstream. If the pilot is to maintain a speed of 10

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Question 326488: The pilot of a ferry boat wishes to head directly across a river flowing due south, but is faced with a river current of 5 mph downstream. If the pilot is to maintain a speed of 10mph due east,what compass heading should be maintained? What is the actual speed of the ferry boat?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The current vector is 5 mph due south, and you want to add this to your course and speed vector to obtain the desired vector of 10 mph east.

The magnitude of the course and speed vector is found with the Pythagorean Theorem.



The course is 90 less the angle whose sine is .

So @

Is the exact answer. Use your calculator for appropriate numeric approximations.

John