A ship sails from Lat 14°16.2’S with a course of 048° (T) with a speed of 11.6 knots. What is her latitude after 45 minutes?

Question

Distance= Dlat/Cos Course
Distance= Speed x time

Answer 1

Distance = Speed x time
Distance = 11.6 knots x 45 minutes

Since 1 knot = 1 nautical mile per hour,
Distance = 11.6 nautical miles/hour x 45 minutes
Distance = 11.6/60 nautical miles/minute x 45 minutes
Distance = 0.1933 nautical miles/minute x 45 minutes
Distance = 8.6995 nautical miles

To find the change in latitude, we use the formula:
Change in latitude = Distance / (60 nautical miles/degree)
Change in latitude = 8.6995 nautical miles / (60 nautical miles/degree)
Change in latitude = 0.14499 degrees

Since the ship sails from Latitude 14°16.2'S, the final latitude will be:
Latitude = Initial Latitude - Change in latitude
Latitude = 14°16.2' S - 0.14499°

The final latitude after 45 minutes is approximately 14°15.46' S.