Navigation Problems USCG Question #1799 (Set 53)

Your vessel is steering 283°T at 10 knots. At 0538 a light bears 350°T, and at 0552 the same light bears 002°T. What will be your distance off abeam?

Official USCG Answer & Rule Citation

Correct Answer: Option A — 10.3 miles

The run between bearings is 14 minutes at 10 knots, totaling 2.33 miles. The change in bearing is 12 degrees. Using the formula for distance off abeam: Distance = Run * sin(first bearing) / sin(change in bearing), the result is 10.3 miles, providing the required clearance from the navigational light.

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