Your vessel is on a course of 253°T at 18 knots. At 2027 a light bears 275.5°T, and at 2055 the light bears 298°T. At what time and distance off will your vessel be when abeam of the light?

Question

Your vessel is on a course of 253&deg;T at 18 knots. At 2027 a light bears 275.5&deg;T, and at 2055 the light bears 298&deg;T. At what time and distance off will your vessel be when abeam of the light?

Accepted Answer

Option D: 2115, 5.9 miles. Using standard Bowditch relative bearing formulas for a bow-and-beam problem, the time interval between bearings yields an exact time abeam at 2115. Distance off equals run distance multiplied by trigonometric factors, giving 5.9 miles.

Your vessel is on a course of 253&deg;T at 18 knots. At 2027 a light bears 275.5&deg;T, and at 2055 the light bears 298&deg;T. At what time and distance off will your vessel be when abeam of the light?

Your vessel is on a course of 253°T at 18 knots. At 2027 a light bears 275.5°T, and at 2055 the light bears 298°T. At what time and distance off will your vessel be when abeam of the light?