A vessel at LAT 32°14.7'N, LONG 66°28.9'W,...

Question 1 / 2066636eea28f7522a1c51b7cf

Question 1 of 2066636eea28f7522a1c51b7cf

A vessel at LAT 32°14.7'N, LONG 66°28.9'W, heads for a destination at LAT 36°58.7'N, LONG 75°42.2'W. Determine the distance by Mercator sailing.

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Question 1 of 20

66636eea28f7522a1c51b7cf

A vessel at LAT 32°14.7'N, LONG 66°28.9'W, heads for a destination at LAT 36°58.7'N, LONG 75°42.2'W. Determine the distance by Mercator sailing.

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🔍 Key Concepts

• Mercator sailing triangle relationship between difference of longitude (DLo), meridional parts (DMP), and course/distance • How to compute difference of latitude (DLat) and difference of longitude (DLo) from starting and destination positions • Use of meridional parts tables for each latitude and forming a right triangle on the Mercator chart

💭 Think About

• First, decide whether the two positions are east or west of each other and north or south of each other, then compute DLat and DLo in minutes of arc. • Think about which sides of the Mercator right triangle you get from DLo and DMP, and which trigonometric function (tan, sin, or cos) links those to the course and distance. • After you find the course from the Mercator triangle, consider which simple relation links DLat and distance to confirm the final distance value.

✅ Before You Answer

• Verify both latitudes are same name (both N or both S) and both longitudes are same name (both E or both W) before taking differences. • Be sure to use meridional parts for each latitude (from a table or formula) and take the difference of meridional parts (DMP), not just the raw latitude difference, in the Mercator triangle. • Check that your final distance is reasonable for the change in latitude (1° ≈ 60 NM); the answer should not be wildly smaller than the north–south separation alone.

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Question 1 of 20

A vessel at LAT 32°14.7'N, LONG 66°28.9'W, heads for a destination at LAT 36°58.7'N, LONG 75°42.2'W. Determine the distance by Mercator sailing.

538.2 miles

270.2 miles

300.2 miles

241.2 miles

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Question 1 / 2066636eea28f7522a1c51b7cf

Question 1 of 2066636eea28f7522a1c51b7cf

A vessel at LAT 32°14.7'N, LONG 66°28.9'W, heads for a destination at LAT 36°58.7'N, LONG 75°42.2'W. Determine the distance by Mercator sailing.

Back

Question 1 of 20

66636eea28f7522a1c51b7cf

A vessel at LAT 32°14.7'N, LONG 66°28.9'W, heads for a destination at LAT 36°58.7'N, LONG 75°42.2'W. Determine the distance 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?

Quick actions

— No credit card needed