You are steaming on course 168°T at a speed of 18 knots. At 1426 you sight a buoy bearing 144°T. At 1435 you sight the same buoy bearing 116°T. What is your distance off at the second bearing and predicted distance when abeam?

Correct Answer: Option A — 2.3 miles 2nd bearing, 1.8 miles abeam

Solving running fixes involves calculating relative bearings and run times at speed. Using standard bow and beam or double-angle formulas, the distance off at the second bearing and predicted distance abeam are derived geometrically.