Navigation Problems USCG Question #1798 (Set 53)

Your vessel is steering 096°T at 17 knots. At 1847 a light bears 057°T, and at 1916 the same light bears 033°T. What will be your distance off abeam?

Official USCG Answer & Rule Citation

Correct Answer: Option A — 11.4 miles

The run between bearings is 29 minutes at 17 knots, totaling 8.22 miles. Applying the formula for distance off abeam with non-standard angles: Distance = Run * sin(first bearing) / sin(change in bearing). With a 24-degree change, the calculation yields 11.4 miles, confirming the vessel's distance off at the second bearing.

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