Navigation Problems USCG Question #1802 (Set 54)

While on a course of 019°pgc, a light bears 14° on the port bow at a distance of 15.3 miles. What course should you steer to pass 1.5 miles abeam of the light, leaving it to port?

Official USCG Answer & Rule Citation

Correct Answer: Option A — 011°pgc

To change the distance off, calculate the required course change using the formula: Change = arcsin(desired distance - current distance / distance to light). With a 13.8-mile difference and 15.3-mile range, the required shift is 64 degrees. Adjusting the heading to 011 degrees pgc achieves the 1.5-mile passing distance.

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