At 2221 your course is 222°pgc at a speed of 11.2 knots, when radar detects a buoy bearing 355° relative, at a range of 5.8 miles. The gyro error is 2°E. If you change course at 2226, what course should you steer to leave the buoy 1.0 mile abeam to port?

Correct Answer: Option D — 228°pgc

Convert the relative bearing to true (222° + 355° = 577° - 360° = 217°T). After 5 minutes at 11.2 knots, the vessel travels 0.93 miles. Solving the relative motion triangle for a 1.0-mile CPA to port, adjusted for 2°E gyro error, results in 228°pgc.