A vessel steams 1650 miles on course 077°T...

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Question 1 of 2066636eea28f7522a1c51b7fe

A vessel steams 1650 miles on course 077°T from LAT 12°47'N, LONG 45°10'E. What is the latitude and longitude of the point of arrival by Mercator sailing?

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Question 1 of 20

66636eea28f7522a1c51b7fe

A vessel steams 1650 miles on course 077°T from LAT 12°47'N, LONG 45°10'E. 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 (ΔLat), and difference of longitude (ΔLo) • How to break a course like 077°T into its north-south and east-west components using sine and cosine • Using meridional parts (MP) to convert between ΔLat and ΔLo in Mercator sailing

💭 Think About

• From the given course 077°T, is the vessel going mostly east-west or mostly north-south? Which component (ΔLat or ΔLo) will be larger? • Estimate the northing (ΔLat) and easting (ΔLo) from 1650 miles using trig functions—does that move the vessel only a few degrees of latitude but many degrees of longitude? • After you get ΔLat and ΔLo, add them (with the correct sign) to the starting LAT/LONG. Which choice best matches your approximate result?

✅ Before You Answer

• Confirm you are using nautical miles, where 1 minute of latitude = 1 NM, to relate ΔLat to distance • Check that you’re using cos(course) for the north-south component and sin(course) for the east-west component of the distance • Verify that your final latitude is north of 12°47'N (since course is 077°T) and your final longitude is east of 45°10'E (because you’re generally heading east)

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Question 1 of 2066636eea28f7522a1c51b7fe

A vessel steams 1650 miles on course 077°T from LAT 12°47'N, LONG 45°10'E. What is the latitude and longitude of the point of arrival by Mercator sailing?

Back

Question 1 of 20

66636eea28f7522a1c51b7fe

A vessel steams 1650 miles on course 077°T from LAT 12°47'N, LONG 45°10'E. 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

👋 Hi! I'm Genie, your AI study assistant. How can I help you with this question?

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