You depart LAT 33°45.0'N, LONG 118°30.0'W,...

Question 1 / 2066636eea28f7522a1c51b06f

Question 1 of 2066636eea28f7522a1c51b06f

You depart LAT 33°45.0'N, LONG 118°30.0'W, and steam 2216 miles on course 250°T. What is the longitude of your arrival by Mercator sailing?

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Question 1 of 20

66636eea28f7522a1c51b06f

You depart LAT 33°45.0'N, LONG 118°30.0'W, and steam 2216 miles on course 250°T. What is the longitude of your arrival by Mercator sailing?

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🔍 Key Concepts

• Mercator sailing formula for difference of longitude using meridional parts and course/ distance • Relationship between departure, course angle from the meridian, and difference of longitude • How to convert an arc distance in nautical miles to difference of latitude on a great circle (1' = 1 NM)

💭 Think About

• First, from the given distance and course, what are the north-south and east-west components of your track? Think in terms of difference of latitude vs. departure. • Given that you start at 33°45.0'N and are on a southwesterly course (250°T), are you ending at a higher or lower latitude? Estimate the sign and rough size of the change in latitude. • Once you have the new latitude, how does Mercator sailing let you turn your departure into a difference of longitude? What table or function do you need at the mean latitude or with meridional parts?

✅ Before You Answer

• Confirm whether the course angle used in your trigonometric functions is the angle from north/south or from east/west; Mercator sailing uses the angle from the meridian. • Make sure you convert between miles and minutes of latitude correctly when finding difference of latitude (1 NM = 1'). • Before choosing an answer, check that your final longitude is still West and that the numerical change in longitude matches the size of your computed departure and the latitude you ended up at.

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Question 1 of 20

You depart LAT 33°45.0'N, LONG 118°30.0'W, and steam 2216 miles on course 250°T. What is the longitude of your arrival by Mercator sailing?

LONG 157°31.0'W

LONG 156°36.0'W

LONG 157°21.0'W

LONG 156°08.0'W

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Question 1 / 2066636eea28f7522a1c51b06f

Question 1 of 2066636eea28f7522a1c51b06f

You depart LAT 33°45.0'N, LONG 118°30.0'W, and steam 2216 miles on course 250°T. What is the longitude of your arrival by Mercator sailing?

Back

Question 1 of 20

66636eea28f7522a1c51b06f

You depart LAT 33°45.0'N, LONG 118°30.0'W, and steam 2216 miles on course 250°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?

Quick actions

— No credit card needed