934. You are steaming on a course of 084°T at a speed of 13 knots. At 1919 a lighthouse bears 106.5°T. At 1957 the same lighthouse bears 129°T. What will be your distance off the lighthouse when abeam?

The lighthouse's bearings changed from 106.5 to 129 over 38 minutes while the vessel maintained a course of 084 at 13 knots. Applying trigonometric principles and the distance run, the perpendicular distance off the lighthouse when abeam is approximately 5.7 miles.