Navigation Problems USCG Question #1574 (Set 47)

Your vessel is on a course of 126°T at 17 knots. At 0251 a light bears 099.5°T, and at 0313 the light bears 081°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 — 0335, 6.2 miles

Using the Bowditch formula for running fixes, the relative bearing change is 18.5 degrees over 22 minutes. Calculating the distance run (6.23 miles) and applying the formula for distance off when abeam, the vessel reaches the beam at 0335 at a distance of 6.2 miles.

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