Determine the great circle distance and...

Question 1 / 2066636eea28f7522a1c51b0c2

Question 1 of 2066636eea28f7522a1c51b0c2

Determine the great circle distance and initial course from LAT 31°57.0'S, LONG 115°52.0'E to LAT 24°47.0'N, LONG 66°59.0'E.

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Question 1 of 20

66636eea28f7522a1c51b0c2

Determine the great circle distance and initial course from LAT 31°57.0'S, LONG 115°52.0'E to LAT 24°47.0'N, LONG 66°59.0'E.

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🔍 Key Concepts

• Great circle sailing formulas for distance and initial course on a spherical Earth • Converting latitude/longitude in degrees and minutes to usable angles (including N/S and E/W signs) • Using the difference of longitude (DLo) correctly, especially when both longitudes are east

💭 Think About

• First, sketch the two positions roughly on a globe: which side of the equator is each, and which is farther east? How does that affect the general direction (NW, NE, etc.) of the track? • Think about whether the initial course from the starting point should be toward the northwest or northeast based on the relative positions. Which answer choices match that general direction? • After estimating an approximate central angle between the points (in degrees), convert it to distance in nautical miles (1° ≈ 60 NM). Which options are closest to this rough estimate?

✅ Before You Answer

• Confirm you are using north latitudes as positive and south latitudes as negative (or vice versa consistently) in any trigonometric formula. • Verify the difference of longitude (DLo): both longitudes are East, so DLo is the simple arithmetic difference, not 360° minus the difference. • Before picking a choice, check that the initial course you get is in the correct quadrant (N/S and E/W) that matches the approximate track you sketched.

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Question 1 of 20

Determine the great circle distance and initial course from LAT 31°57.0'S, LONG 115°52.0'E to LAT 24°47.0'N, LONG 66°59.0'E.

4378 miles, 336.8°T

4516 miles, 134.5°T

4407 miles, 314.5°T

4402 miles, 319.5°T

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Question 1 / 2066636eea28f7522a1c51b0c2

Question 1 of 2066636eea28f7522a1c51b0c2

Determine the great circle distance and initial course from LAT 31°57.0'S, LONG 115°52.0'E to LAT 24°47.0'N, LONG 66°59.0'E.

Back

Question 1 of 20

66636eea28f7522a1c51b0c2

Determine the great circle distance and initial course from LAT 31°57.0'S, LONG 115°52.0'E to LAT 24°47.0'N, LONG 66°59.0'E.

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