Navigation Problems USCG Question #1496 (Set 45)

You are steaming on a course of 058°T at 11.5 knots. At 0209 you observe a lighthouse bearing 129°T. At 0252 the lighthouse bears 173°T. What is your distance off at the second bearing?

Official USCG Answer & Rule Citation

Correct Answer: Option B — 11.2 miles

Calculate the run between bearings: 43 minutes at 11.5 knots equals 8.24 miles. Using the relative bearings (71° and 115°), apply the Bowditch running fix formula: Distance = (Run * sin(Relative Bearing 1)) / sin(Change in Bearing). The calculation confirms a distance off of 11.2 nautical miles.

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