You are steaming on a course of 198°T at 18.5 knots. At 0316 you observe a lighthouse bearing 235°T. At 0348 the lighthouse bears 259°T. What is your distance off at the second bearing?

Question

You are steaming on a course of 198&deg;T at 18.5 knots. At 0316 you observe a lighthouse bearing 235&deg;T. At 0348 the lighthouse bears 259&deg;T. What is your distance off at the second bearing?

Accepted Answer

Option A: 14.8 miles. Utilize the relative bearing method for running fixes. Calculate the run distance (9.87 miles) between 0316 and 0348. Using the formula for distance off at the second bearing, D = (Run * sin(Relative Bearing 1)) / sin(Change in Bearing), the geometry confirms a distance of 14.8 miles.

You are steaming on a course of 198&deg;T at 18.5 knots. At 0316 you observe a lighthouse bearing 235&deg;T. At 0348 the lighthouse bears 259&deg;T. What is your distance off at the second bearing?

You are steaming on a course of 198°T at 18.5 knots. At 0316 you observe a lighthouse bearing 235°T. At 0348 the lighthouse bears 259°T. What is your distance off at the second bearing?