You depart LAT 37° 36' N, LONG 123° 00' W,...

Question 1 / 2066636eea28f7522a1c51b074

Question 1 of 2066636eea28f7522a1c51b074

You depart LAT 37° 36' N, LONG 123° 00' W, and steam 2022 miles on course 241° T. What is the longitude of your arrival by Mercator sailing?

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Question 1 of 20

66636eea28f7522a1c51b074

You depart LAT 37° 36' N, LONG 123° 00' W, and steam 2022 miles on course 241° T. What is the longitude of your arrival by Mercator sailing?

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🔍 Key Concepts

• Mercator sailing relationship between difference in longitude, difference in latitude, and course: ( \tan C = \frac{\Delta \text{Long (in minutes)}}{\Delta \text{Meridional Parts}} ) or its equivalent form. • How to find difference in latitude from distance and course: ( DLat = D \times \cos(C) / 60 ) and decide if you are going north or south. • Using the meridional parts (MP) table for the starting and ending latitudes to get ( \Delta MP ), then using that to find ( \Delta Long ).

💭 Think About

• Is your course 241° T taking you toward the equator or toward a pole? Use that to decide whether your latitude increases or decreases. • Once you compute the new latitude from the distance and course, what are the meridional parts for the initial and final latitudes, and what is their difference? • Given a southwesterly course, should your longitude increase or decrease in the western hemisphere, and by roughly how much for a 2000+ mile run?

✅ Before You Answer

• Make sure you convert the distance to difference in latitude in degrees using ( DLat = D \times \cos(C) / 60 ). • Verify you are using the angle from the meridian (0–90°) in the Mercator formula, not the full 0–360° course when applying ( \tan C ). • After computing ( \Delta Long ), check the sign and hemisphere: starting at 123° W and moving on a southwesterly course, should the final longitude be greater or less than 123° W?

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Question 1 of 20

You depart LAT 37° 36' N, LONG 123° 00' W, and steam 2022 miles on course 241° T. What is the longitude of your arrival by Mercator sailing?

LONG 154° 18.3' W

LONG 163° 18.2' W

LONG 163° 28.2' W

LONG 156° 51.7' W

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Question 1 / 2066636eea28f7522a1c51b074

Question 1 of 2066636eea28f7522a1c51b074

You depart LAT 37° 36' N, LONG 123° 00' W, and steam 2022 miles on course 241° T. What is the longitude of your arrival by Mercator sailing?

Back

Question 1 of 20

66636eea28f7522a1c51b074

You depart LAT 37° 36' N, LONG 123° 00' W, and steam 2022 miles on course 241° 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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