You are steering 231°T, and a light is picked up dead ahead at a distance of 12.3 miles at 0338. You change course to pass the light 4 miles off abeam to starboard. If you are making 16.5 knots, what is your ETA at the position 4 miles off the light?

Correct Answer: Option A — 0420

Applying Bowditch piloting principles, the steaming distance to the new position is calculated using the Pythagorean theorem with initial range and off-beam distance. Total run distance divided by vessel speed gives elapsed time. Adding this time interval to the initial fix time yields the precise ETA of 0420.