Navigation Problems USCG Question #1795 (Set 53)

Your vessel is steering 263°T at 22 knots. At 0413 a light bears 294°T and at 0421 the same light bears 312°T. What will be your distance off when abeam?

Official USCG Answer & Rule Citation

Correct Answer: Option B — 3.7 miles

The run distance is 2.93 miles over 8 minutes. Relative bearings are 31 degrees and 49 degrees. Calculating the distance off at the second bearing and projecting to the beam position using the sine of the relative angle results in 3.7 miles, consistent with standard piloting techniques.

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