The great circle distance from LAT...

Question 1 / 2066636eea28f7522a1c51b2e1

Question 1 of 2066636eea28f7522a1c51b2e1

The great circle distance from LAT 24°25.3'N, LONG 83°02.6'W to LAT 35°57.2'N, LONG 5°45.7'W is 3966.5 miles. Determine the latitude of the vertex.

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Question 1 of 20

66636eea28f7522a1c51b2e1

The great circle distance from LAT 24°25.3'N, LONG 83°02.6'W to LAT 35°57.2'N, LONG 5°45.7'W is 3966.5 miles. Determine the latitude of the vertex.

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🔍 Key Concepts

• Great circle sailing vs. rhumb line • How to find the vertex latitude of a great circle using mid-latitude formulas or spherical trigonometry • Role of the maximum latitude reached on a great circle**

💭 Think About

• Sketch the great circle track between the two positions on a simple Mercator-style sketch. Where, roughly, would the highest latitude (vertex) be? • Think about whether the vertex latitude must be north or south of both departure and arrival latitudes, and why. • Consider how the difference in longitude between the two points affects how far poleward the great circle bends.

✅ Before You Answer

• Confirm which of the given answer choices is greater than both the departure and arrival latitudes, if this is appropriate for the hemisphere and track direction. • Check that the chosen vertex latitude is reasonable for a North Atlantic great circle route between the Caribbean/Gulf of Mexico area and the Strait of Gibraltar region. • Verify you are using the correct formula for vertex latitude in great circle sailing (involving cos(lat)·sin(Δlong) and the initial course).

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Question 1 of 20

The great circle distance from LAT 24°25.3'N, LONG 83°02.6'W to LAT 35°57.2'N, LONG 5°45.7'W is 3966.5 miles. Determine the latitude of the vertex.

38°46.2'N

38°16.4'N

38°09.4'N

37°57.3'N

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Question 1 / 2066636eea28f7522a1c51b2e1

Question 1 of 2066636eea28f7522a1c51b2e1

The great circle distance from LAT 24°25.3'N, LONG 83°02.6'W to LAT 35°57.2'N, LONG 5°45.7'W is 3966.5 miles. Determine the latitude of the vertex.

Back

Question 1 of 20

66636eea28f7522a1c51b2e1

The great circle distance from LAT 24°25.3'N, LONG 83°02.6'W to LAT 35°57.2'N, LONG 5°45.7'W is 3966.5 miles. Determine the latitude of the vertex.

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