Navigation Problems USCG Question #1520 (Set 45)

You are steaming on a course of 267°T at 22 knots. At 0433 you observe a lighthouse bearing 290°T. At 0452 the lighthouse bears 328°T. What is your distance off at the second bearing?

Official USCG Answer & Rule Citation

Correct Answer: Option C — 4.5 nm

Calculate the distance run between bearings (19 minutes at 22 knots = 6.97 nm). Use the formula for distance off at the second bearing: D = (Run * sin(relative bearing 2)) / sin(change in bearing). With a 38-degree change, the distance off at the second bearing is 4.5 nautical miles.

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