Navigation Problems USCG Question #947 (Set 28)

You sight a light 9° on your starboard bow at a distance of 21 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 D — 3.3 miles

Per Bowditch's principles of right-triangle piloting, the distance off when abeam is found by multiplying the initial distance by the sine of the relative bearing angle (9°). Distance off = 21 sin(9°) = 3.28 miles, rounding to 3.3 miles.

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