A vessel steams 666 miles on course 135°T...

Question 1 / 2066636eea28f7522a1c51b809

Question 1 of 2066636eea28f7522a1c51b809

A vessel steams 666 miles on course 135°T from LAT 40°24.0'N, LONG 74°30.0'W. What is the latitude and longitude of the point of arrival by Mercator sailing?

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Question 1 of 20

66636eea28f7522a1c51b809

A vessel steams 666 miles on course 135°T from LAT 40°24.0'N, LONG 74°30.0'W. What is the latitude and longitude of the point of arrival by Mercator sailing?

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🔍 Key Concepts

• Mercator sailing relationships between distance, course, difference of latitude (DLat), and difference of longitude (DLo) • Using the course angle from the meridian (135°T) to find components of the track: one along latitude (north-south) and one along longitude (east-west) • Effect of east‑southeast course (135°T) on latitude (increasing or decreasing?) and longitude (more easterly or westerly?)

💭 Think About

• From a starting latitude of 40°24.0'N, decide whether your final latitude must be north or south of this, given a course of 135°T. About how many minutes of latitude will 666 miles change on this course? • Break the 666 miles into north-south and east-west components using basic trigonometry with the course angle; how does that give you DLat and departure? • For the approximate mid‑latitude, convert your departure to a difference of longitude using the cosine of latitude; does the longitude become more east or more west from 74°30.0'W on this track?

✅ Before You Answer

• Confirm the sign of DLat (are you going toward the equator or the pole on 135°T from the Northern Hemisphere?). • Check that your computed change in latitude is reasonable: 1° of latitude = 60 nautical miles; so estimate if your result roughly matches the north‑south component of 666 miles. • When converting departure to DLo, be sure you use the correct average latitude in the cosine term and that you move the longitude in the correct direction (toward smaller or larger west longitude).

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Question 1 of 20

A vessel steams 666 miles on course 135°T from LAT 40°24.0'N, LONG 74°30.0'W. What is the latitude and longitude of the point of arrival by Mercator sailing?

LAT 32°30.0'N, LONG 64°41.0'W

LAT 32°36.0'N, LONG 64°49.0'W

LAT 32°33.0'N, LONG 64°46.0'W

LAT 32°39.0'N, LONG 64°53.0'W

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Question 1 / 2066636eea28f7522a1c51b809

Question 1 of 2066636eea28f7522a1c51b809

A vessel steams 666 miles on course 135°T from LAT 40°24.0'N, LONG 74°30.0'W. What is the latitude and longitude of the point of arrival by Mercator sailing?

Back

Question 1 of 20

66636eea28f7522a1c51b809

A vessel steams 666 miles on course 135°T from LAT 40°24.0'N, LONG 74°30.0'W. What is the latitude and longitude of the point of 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

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