Navigation Problems USCG Question #1587 (Set 47)

Your vessel is on a course of 316°T at 12 knots. At 2326 a light bears 289.5°T, and at 2354 the light bears 271°T. At what time and at what distance off will your vessel be when abeam of the light?

Official USCG Answer & Rule Citation

Correct Answer: Option D — 0022, 5.6 miles

Using the Bowditch running fix method, the change in relative bearing is 26.5 degrees over 28 minutes. Calculating the distance run (5.6 miles) and applying the distance-off-abeam formula, the vessel reaches the beam at 0022 at a distance of 5.6 miles.

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