30. You are steaming on a course of 327°T at 13 knots. At 0207 you observe a lighthouse bearing 020°T. At 0226 the lighthouse bears 042°T. What is your distance off at the second bearing?

The distance off at the second bearing was calculated using the distance run between bearings and the sine rule. The time between bearings was 19 minutes, resulting in a distance run of 4.12 nautical miles. The relative bearings were 53 and 75 on the starboard bow, yielding an included angle of 22. Applying the sine rule, the distance off at the second bearing is approximately 8.8 nautical miles, which corresponds to 8.9 miles.