A vessel at LAT 18° 54' N, LONG 73° 00' E,...

Question 1 / 2066636eea28f7522a1c51b7c0

Question 1 of 2066636eea28f7522a1c51b7c0

A vessel at LAT 18° 54' N, LONG 73° 00' E, heads for a destination at LAT 13° 12' N, LONG 54° 00' E. Determine the true course and distance by Mercator sailing.

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Question 1 of 20

66636eea28f7522a1c51b7c0

A vessel at LAT 18° 54' N, LONG 73° 00' E, heads for a destination at LAT 13° 12' N, LONG 54° 00' E. Determine the true course and distance by Mercator sailing.

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🔍 Key Concepts

• Mercator sailing relationships between difference of longitude, meridional parts, and course • Using meridional parts (M) for each latitude and finding difference of meridional parts (ΔMP) • Relationship in Mercator sailing: ( \tan(C) = \frac{\Delta \text{Long}}{\Delta \text{MP}} ) and distance from ( D = \frac{\Delta \text{Lat}}{\cos C} ) (with proper units)

💭 Think About

• First, decide which point is the departure and which is the destination, then find the difference in latitude and difference in longitude with correct signs (N/S, E/W). How do these signs affect the quadrant of your course? • Look up or calculate the meridional parts for the starting and ending latitudes. What do you get for ΔMP, and does it make sense compared to your ΔLat? • After you compute the course from the tangent ratio, think: is your answer a NE, SE, SW, or NW course based on how latitude and longitude are changing? Which of the options fits that quadrant and distance range?

✅ Before You Answer

• Be sure the difference of longitude (ΔLong) is converted to minutes (or degrees consistently) before using it in the tangent ratio. • Confirm you are using the difference of meridional parts (ΔMP), not just the simple difference in latitude, in the Mercator sailing formula. • After finding the course angle from the arctangent, check that you place it in the correct true bearing (0°–360°) according to the direction of travel (increasing/decreasing latitude and longitude).

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Question 1 of 20

A vessel at LAT 18° 54' N, LONG 73° 00' E, heads for a destination at LAT 13° 12' N, LONG 54° 00' E. Determine the true course and distance by Mercator sailing.

256° T, 1136 miles

247° T, 1161 miles

253° T, 1154 miles

250° T, 1172 miles

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Question 1 / 2066636eea28f7522a1c51b7c0

Question 1 of 2066636eea28f7522a1c51b7c0

A vessel at LAT 18° 54' N, LONG 73° 00' E, heads for a destination at LAT 13° 12' N, LONG 54° 00' E. Determine the true course and distance by Mercator sailing.

Back

Question 1 of 20

66636eea28f7522a1c51b7c0

A vessel at LAT 18° 54' N, LONG 73° 00' E, heads for a destination at LAT 13° 12' N, LONG 54° 00' E. Determine the true course and 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?

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