Navigation Problems USCG Question #1780 (Set 53)

Your vessel is steaming on a course of 140°T at 15 knots. At 1530 a lighthouse bears 200°T. At 1550 it bears 249°T. What is your distance from the lighthouse at 1550?

Official USCG Answer & Rule Citation

Correct Answer: Option C — 5.75 miles

The distance run between bearings is 5.0 miles. Using the relative bearings of 60° and 109°, the distance off at the second bearing is calculated using the sine rule: Distance = (Run * sin(Relative Bearing 1)) / sin(Change in Bearing), resulting in 5.75 miles.

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