Navigation Problems USCG Question #1765 (Set 53)

Your vessel is on a course of 311°T at 21 knots. At 1957 a light bears 337.5°T, and at 2018 the light bears 356°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 C — 2039, 7.4 miles

Applying the standard running fix formula, the distance run between bearings is 7.35 miles. Using the relative bearings of 26.5° and 45°, the distance off at the second bearing is 7.4 miles, and the time to reach the abeam position is 2039, consistent with Bowditch piloting procedures.

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