A vessel steams 576 miles on course 260°T from LAT 40°36'N, LONG 50°24'W. What are the latitude and longitude of the point of arrival by mid-latitude sailing?
• Mid-latitude sailing: using average latitude to convert departure to difference of longitude • Relationship between course, distance, ΔLat (difference of latitude), and departure • Converting departure to ΔLong using cosine of mid-latitude
• From the given course (260°T), decide whether latitude will increase or decrease, and whether longitude will increase or decrease in the North Atlantic. • Use the course and total distance to find ΔLat and departure. Think about which trigonometric functions go with north-south vs east-west components. • After you find ΔLat and ΔLong, apply the signs correctly (N/S, E/W) to the starting position to get the final coordinates and compare with the choices.
• Be sure you are using true course from north, measured clockwise, to decide directions of ΔLat and ΔLong. • When converting departure to ΔLong, confirm you are using the cosine of the mid-latitude (average of initial and final latitudes). • Check that the final latitude stays reasonably close to the starting latitude, given that the course is mostly west-going, not strongly north or south.
No comments yet
Be the first to share your thoughts!