Navigation Problems USCG Question #1793 (Set 53)

While underway you sight a light 11° on your port bow at a distance of 12 miles. Assuming you make good your course, what will be your distance off the light when abeam?

Official USCG Answer & Rule Citation

Correct Answer: Option C — 2.3 miles

Use the formula for distance off abeam: D = Distance * sin(Relative Bearing). With a distance of 12 miles and a relative bearing of 11 degrees, the distance off when abeam is 12 * sin(11 degrees), which equals 2.3 miles. This is a fundamental application of right-triangle trigonometry.

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