While on a course of 066°pgc, a light bears 18° on the port bow at a distance of 12.3 miles. What course should you steer to leave the light 4 miles abeam to port?

Question

While on a course of 066&deg;pgc, a light bears 18&deg; on the port bow at a distance of 12.3 miles. What course should you steer to leave the light 4 miles abeam to port?

Accepted Answer

Option A: 067&deg;pgc. Current distance off is 12.3 * sin(18 degrees) = 3.8 miles. To increase to 4 miles, the required course change is arcsin((4 - 3.8) / 12.3) = 0.9 degrees. Applying this shift away from the light to the original course of 066 degrees pgc results in a new course of 067 degrees pgc.

While on a course of 066&deg;pgc, a light bears 18&deg; on the port bow at a distance of 12.3 miles. What course should you steer to leave the light 4 miles abeam to port?

While on a course of 066°pgc, a light bears 18° on the port bow at a distance of 12.3 miles. What course should you steer to leave the light 4 miles abeam to port?