Determine the great circle distance and...

Question 1 / 2066636eea28f7522a1c51b0d2

Question 1 of 2066636eea28f7522a1c51b0d2

Determine the great circle distance and initial course from LAT 38°42.0'N, LONG 09°10.5'W to LAT 32°05.0'N, LONG 81°05.0'W.

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Question 1 of 20

66636eea28f7522a1c51b0d2

Determine the great circle distance and initial course from LAT 38°42.0'N, LONG 09°10.5'W to LAT 32°05.0'N, LONG 81°05.0'W.

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🔍 Key Concepts

• Great circle sailing formulas for distance and course on a sphere • Relationship between difference of longitude (DLo) and the sine/cosine of the latitudes in great circle problems • How initial course near the departure latitude compares to a simple rhumb-line (Mercator) bearing for a rough reasonableness check

💭 Think About

• First, compute (or estimate) the difference of longitude between the two positions and decide whether you are mainly crossing east–west or north–south. • Use the standard great circle distance formula involving the cosine of the central angle; think about which answer ranges are reasonable for a North Atlantic crossing at these latitudes. • Compare the direction of travel on the globe: from 9°W to 81°W and from 38°N to 32°N—should the initial true course be generally westward or eastward, and slightly toward higher or lower latitude?

✅ Before You Answer

• Be sure you are using west longitude correctly when finding DLo (watch the signs). • Check that your computed central angle (in degrees) makes sense before converting it to miles using 60 NM per degree. • Verify that the initial true course you obtain agrees with the general sense of the track: are you steering generally southwest, northwest, southeast, or northeast from the departure point?

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Question 1 of 20

Determine the great circle distance and initial course from LAT 38°42.0'N, LONG 09°10.5'W to LAT 32°05.0'N, LONG 81°05.0'W.

3449.4 miles, 287.2°T

3412.6 miles, 085.8°T

3432.0 miles, 278.3°T

3402.0 miles, 072.5°T

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Question 1 / 2066636eea28f7522a1c51b0d2

Question 1 of 2066636eea28f7522a1c51b0d2

Determine the great circle distance and initial course from LAT 38°42.0'N, LONG 09°10.5'W to LAT 32°05.0'N, LONG 81°05.0'W.

Back

Question 1 of 20

66636eea28f7522a1c51b0d2

Determine the great circle distance and initial course from LAT 38°42.0'N, LONG 09°10.5'W to LAT 32°05.0'N, LONG 81°05.0'W.

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