Navigation Problems USCG Question #587 (Set 17)

You are running coastwise on a course of 323°T, and you have a buoy bearing 11° on your port bow at a distance of 7 miles. You desire to leave the buoy abeam to port at a distance of 2.5 miles. What course should you steer?

Official USCG Answer & Rule Citation

Correct Answer: Option C — 333°T

Using the relative bearing formula, the buoy is 11° on the port bow. To pass 2.5 miles abeam, apply the principles of right-angle trigonometry. The required course change to achieve the desired distance off the buoy, given the initial geometry, results in a new course to steer of 333°T.

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