Navigation Problems USCG Question #1784 (Set 53)

You are steaming on a course of 246°T at 17 knots. At 2107 you observe a lighthouse bearing 207°T. At 2119 the lighthouse bears 179°T. What is your distance off at the second bearing?

Official USCG Answer & Rule Citation

Correct Answer: Option A — 4.6 miles

Calculate the run distance of 3.4 miles over 12 minutes. The relative bearings are 39 degrees and 67 degrees. Applying the running fix formula, the distance off at the second bearing is 4.6 miles. This method is essential for maintaining position accuracy when only one landmark is available.

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