While on course 321°pgc with a 1°W gyro error, you pick up a buoy on radar bearing 001° relative at 5.2 miles. What will be the course to pass the buoy by 1 mile abeam to starboard, if you change course when the buoy is 4.5 miles away?

Correct Answer: Option A — 310°pgc

Applying Bowditch piloting principles, determine initial range and bearing to the danger. Solve the right triangle formed by the current position, the new desired passing distance abeam, and the remaining run distance to calculate the altered course angle.