You depart LAT 28°55.0'N, LONG 89°10.0'W,...

Question 1 / 2066636eea28f7522a1c51b06b

Question 1 of 2066636eea28f7522a1c51b06b

You depart LAT 28°55.0'N, LONG 89°10.0'W, enroute to LAT 24°25.0'N, LONG 83°00.0'W. What is the true course and distance by mid-latitude sailing?

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Question 1 of 20

66636eea28f7522a1c51b06b

You depart LAT 28°55.0'N, LONG 89°10.0'W, enroute to LAT 24°25.0'N, LONG 83°00.0'W. What is the true course and distance by mid-latitude sailing?

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🔍 Key Concepts

• Difference of Latitude (DLat) and Difference of Longitude (DLo) between departure and destination • Mid-latitude sailing formula: use the average latitude to convert longitude difference to departure (east‑west distance) • Relationship between course angle, north‑south distance, and east‑west distance in a right triangle

💭 Think About

• First, determine whether you are going mainly southeast, southwest, northeast, or northwest based on the starting and ending latitudes/longitudes. How does that affect the true course quadrant? • Compute the difference of latitude in minutes of arc. Then compute the difference of longitude, convert it to minutes of arc, and adjust it using the cosine of the mid-latitude. Which answer choices have a course roughly matching the ratio of E‑W to N‑S distance? • Once you have north‑south and east‑west components, use right‑triangle relationships (Pythagorean theorem and tangent) to estimate the distance and course. Which choice best matches both your distance and course direction?

✅ Before You Answer

• Be sure you are using mid‑latitude (average of the two latitudes), not just the starting latitude, when applying cosine to the longitude difference. • Confirm that all angular values used in trigonometric functions are in degrees, and that you convert degrees and minutes to a single unit (usually minutes) before forming the triangle. • After finding the course angle from the meridian (north‑south line), check that the final true course is expressed in three digits and lies in the correct SE/SW/NE/NW quadrant based on your start and end positions.

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Question 1 of 20

You depart LAT 28°55.0'N, LONG 89°10.0'W, enroute to LAT 24°25.0'N, LONG 83°00.0'W. What is the true course and distance by mid-latitude sailing?

418 miles, 122°T

427 miles, 129°T

442 miles, 122°T

436 miles, 133°T

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Question 1 / 2066636eea28f7522a1c51b06b

Question 1 of 2066636eea28f7522a1c51b06b

You depart LAT 28°55.0'N, LONG 89°10.0'W, enroute to LAT 24°25.0'N, LONG 83°00.0'W. What is the true course and distance by mid-latitude sailing?

Back

Question 1 of 20

66636eea28f7522a1c51b06b

You depart LAT 28°55.0'N, LONG 89°10.0'W, enroute to LAT 24°25.0'N, LONG 83°00.0'W. What is the true course and distance 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