While on a course of 192°T, a light bears 11° on the starboard bow at a distance of 12.7 miles. What course should you steer to pass 3 miles abeam of the light leaving it to starboard?

Question

While on a course of 192&deg;T, a light bears 11&deg; on the starboard bow at a distance of 12.7 miles. What course should you steer to pass 3 miles abeam of the light leaving it to starboard?

Accepted Answer

Option A: 189&deg;T. Current distance off is 12.7 * sin(11 degrees) = 2.42 miles. To increase this to 3 miles, the required course change is arcsin((3 - 2.42) / 12.7) = 2.6 degrees. Applying this shift away from the light to the original course of 192 degrees T results in a new course of 189 degrees T.

While on a course of 192&deg;T, a light bears 11&deg; on the starboard bow at a distance of 12.7 miles. What course should you steer to pass 3 miles abeam of the light leaving it to starboard?

While on a course of 192°T, a light bears 11° on the starboard bow at a distance of 12.7 miles. What course should you steer to pass 3 miles abeam of the light leaving it to starboard?