You are on a great circle track departing...

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Question 1 of 2066636eea28f7522a1c51b2f0

You are on a great circle track departing from LAT 25°50.0'N, LONG 77°00.0'W and your initial course is 061.7°T. The position of the vertex is LAT 37°35.6'N, LONG 25°57.8'W. What is the distance along the great circle track between the point of departure and the vertex?

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Question 1 of 20

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🔍 Key Concepts

• Great circle sailing: relationship between departure latitude, vertex latitude, and distance to the vertex • How to convert difference in longitude to degrees of arc along a great circle when you know the vertex position • Using the Earth assumption of 60 nautical miles per degree of arc on a great circle

💭 Think About

• How does the latitude of the vertex compare to the latitude of departure, and what does that tell you about how far along the great circle you travel to reach the maximum latitude? • Can you express the distance from departure to vertex as an angle at the Earth’s center, then convert that angle to nautical miles? • Is there a formula in your great circle sailing tables or notes that links departure latitude, vertex latitude, and course to the vertex?

✅ Before You Answer

• Make sure you are working in nautical miles, not statute miles. • Check that you use degrees of arc × 60 to get distance on a great circle. • Verify that you are using the correct latitudes (departure and vertex) in your great-circle distance calculation, not the longitudes.

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