A vessel steams 1082 miles on course 047° T...

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Question 1 of 2066636eea28f7522a1c51b7fb

A vessel steams 1082 miles on course 047° T from LAT 37° 18.0' N, LONG 24° 40.0' W. What is the latitude and longitude of the point of arrival by Mercator sailing?

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66636eea28f7522a1c51b7fb

A vessel steams 1082 miles on course 047° T from LAT 37° 18.0' N, LONG 24° 40.0' W. What is the latitude and longitude of the point of arrival by Mercator sailing?

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🔍 Key Concepts

• Mercator sailing relationships between course, distance, difference of latitude, and difference of longitude • Breaking course 047° T into northing (ΔLat) and easting/westing (departure) components using basic trigonometry • How a NE course from 37°18.0' N, 24°40.0' W should change both latitude and longitude (direction and approximate size)

💭 Think About

• From a course of 047° T and distance 1082 miles, how do you compute the difference in latitude using the cosine of the course? What sign (N or S) will it have? • Once you know the new latitude, how do you use meridional parts (from a table) to relate the change in latitude to the departure, and then find the corresponding difference of longitude on a Mercator chart? • Starting at 24°40.0' W and heading northeast, should the longitude become more westerly or less westerly? About how many degrees of longitude would you expect to change over 1000+ miles at those latitudes?

✅ Before You Answer

• Confirm that your computed final latitude is close to 49° N (all choices cluster there), and use this to spot any arithmetic errors early. • Make sure the signs of your ΔLat (northing) and ΔLong (east or west) match the actual direction of travel on course 047° T from the North Atlantic position given. • After computing ΔLong in minutes, convert carefully to degrees and minutes, then combine with the starting 24°40.0' W to see which option’s longitude is most consistent.

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Question 1 of 2066636eea28f7522a1c51b7fb

A vessel steams 1082 miles on course 047° T from LAT 37° 18.0' N, LONG 24° 40.0' W. What is the latitude and longitude of the point of arrival by Mercator sailing?

Back

Question 1 of 20

66636eea28f7522a1c51b7fb

A vessel steams 1082 miles on course 047° T from LAT 37° 18.0' N, LONG 24° 40.0' W. What is the latitude and longitude of the point of arrival by Mercator sailing?

No comments yet

Be the first to share your thoughts!

If the question has a related picture, it will appear here.

🔍 Key Concepts

💭 Think About

✅ Before You Answer

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