You depart LAT 40°42.0'N, LONG 74°01.0'W,...

Question 1 / 2066636eea28f7522a1c51b079

Question 1 of 2066636eea28f7522a1c51b079

You depart LAT 40°42.0'N, LONG 74°01.0'W, and steam 3365.6 miles on course 118°T. What is the longitude of your arrival by Mercator sailing?

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Question 1 of 20

66636eea28f7522a1c51b079

You depart LAT 40°42.0'N, LONG 74°01.0'W, and steam 3365.6 miles on course 118°T. What is the longitude of your arrival by Mercator sailing?

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🔍 Key Concepts

• Mercator sailing uses difference of longitude (DLo) and meridional parts to relate course, distance, and change in latitude/longitude. • On an oblique course (not due east/west), the departure is found from the distance and course, then related to DLo using mean latitude on a Mercator chart. • Check how course angle from due east/west affects the size of departure for a given distance.

💭 Think About

• What trigonometric function relates course angle and distance to find departure on a Mercator sailing? Think about the component of the track that is east-west. • Once you have the departure, how do you convert that to a difference of longitude at the mean latitude for this track? • Given your starting longitude is west, and you’re steaming generally southeast (118°T), will your longitude become more east or more west? How does that affect the sign of your DLo?

✅ Before You Answer

• Confirm you are using nautical miles for distance and that your trigonometric function uses the correct angle from north/south. • Verify you use the mean latitude (or appropriate meridional parts) when converting between departure and DLo on a Mercator chart. • After finding DLo, carefully apply it (add or subtract) to 74°01.0'W and see which choice is consistent with the direction of travel (toward or away from Greenwich).

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Question 1 of 20

You depart LAT 40°42.0'N, LONG 74°01.0'W, and steam 3365.6 miles on course 118°T. What is the longitude of your arrival by Mercator sailing?

10°46.0'W

17°41.0'W

24°29.0'W

22°58.0'W

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Question 1 / 2066636eea28f7522a1c51b079

Question 1 of 2066636eea28f7522a1c51b079

You depart LAT 40°42.0'N, LONG 74°01.0'W, and steam 3365.6 miles on course 118°T. What is the longitude of your arrival by Mercator sailing?

Back

Question 1 of 20

66636eea28f7522a1c51b079

You depart LAT 40°42.0'N, LONG 74°01.0'W, and steam 3365.6 miles on course 118°T. What is the longitude of your arrival by Mercator 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?

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