Navigation Problems USCG Question #994 (Set 29)

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 B — 2.3 miles

Applying Bowditch relative bearing geometry, distance off abeam equals initial distance multiplied by the sine of the relative bearing when heading remains constant. With a 11-degree bow angle and 12-mile initial distance, trigonometric resolution gives 2.3 miles abeam.

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