A vessel steams 640 miles on course 047°T...

Question 1 / 2066636eea28f7522a1c51b805

Question 1 of 2066636eea28f7522a1c51b805

A vessel steams 640 miles on course 047°T from LAT 34°45'N, LONG 140°00'E. What are the latitude and longitude of the point of arrival by mid-latitude sailing?

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Question 1 of 20

66636eea28f7522a1c51b805

A vessel steams 640 miles on course 047°T from LAT 34°45'N, LONG 140°00'E. What are the latitude and longitude of the point of arrival by mid-latitude sailing?

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🔍 Key Concepts

• Mid-latitude sailing formulas for difference of latitude (DLat) and difference of longitude (DLo) • Relationship between course, distance, and the components: meridional and departure • Using mean latitude in the cosine term when converting departure to difference of longitude

💭 Think About

• First, break the 640‑mile run on course 047°T into its north-south and east-west components. What trigonometric functions relate these to the given course? • After finding the new latitude from the north-south component, how do you compute the departure and then convert that to a difference in longitude using mid-latitude sailing? • Once you have the DLo in minutes of arc, how do you apply it (E or W) to the starting longitude to find the final longitude?

✅ Before You Answer

• Be sure you use course from north (047°T) correctly when deciding which side of the triangle is latitude change and which is departure. • Use mean latitude (average of initial and final latitudes) when converting departure to DLo with cosine, not just the initial latitude. • Check the final position: the vessel is heading northeasterly, so latitude should be higher (more north) and longitude should be further east than the starting point.

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Question 1 of 20

A vessel steams 640 miles on course 047°T from LAT 34°45'N, LONG 140°00'E. What are the latitude and longitude of the point of arrival by mid-latitude sailing?

LAT 42°01'N, LONG 149°57'E

LAT 42°06'N, LONG 149°53'E

LAT 42°09'N, LONG 149°50'E

LAT 41°57'N, LONG 150°02'E

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Question 1 / 2066636eea28f7522a1c51b805

Question 1 of 2066636eea28f7522a1c51b805

A vessel steams 640 miles on course 047°T from LAT 34°45'N, LONG 140°00'E. What are the latitude and longitude of the point of arrival by mid-latitude sailing?

Back

Question 1 of 20

66636eea28f7522a1c51b805

A vessel steams 640 miles on course 047°T from LAT 34°45'N, LONG 140°00'E. What are the latitude and longitude of the point of arrival by mid-latitude 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?

Quick actions

— No credit card needed