You are steaming on a course of 167°T at 19.5 knots. At 1837 you observe a lighthouse bearing 224°T. At 1904 the lighthouse bears 268°T. What is your distance off at the second bearing?
Official USCG Answer & Rule Citation
Correct Answer: Option C — 10.4 miles
Determine the run distance of 8.775 miles over 27 minutes. Applying the law of sines to the triangle formed by the two bearings and the distance run, the distance off at the second bearing is calculated as 10.4 miles, consistent with standard piloting procedures in Bowditch.
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