Navigation Problems USCG Question #567 (Set 17)

You are steering 115°T, and a light is picked up dead ahead at a distance of 16.7 miles at 0522. You change course to pass the light 3.5 miles off abeam to port. If you are making 12 knots, what is your ETA at the position 3.5 miles off the light?

Official USCG Answer & Rule Citation

Correct Answer: Option C — 0644

The vessel is 16.7 miles from the light. To pass 3.5 miles off, use the Pythagorean theorem or trigonometry to find the distance to the abeam position. At 12 knots, the time required to cover the distance results in an ETA of 0644 at the 3.5-mile abeam point.

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