You depart LAT 22° 35.0' N, LONG 157° 30.0'...

Question 1 / 2066636eea28f7522a1c51b066

Question 1 of 2066636eea28f7522a1c51b066

You depart LAT 22° 35.0' N, LONG 157° 30.0' W, and steam 4505.0 miles on course 135° T. What are the latitude and longitude of your arrival by Mercator sailing?

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Question 1 of 20

66636eea28f7522a1c51b066

You depart LAT 22° 35.0' N, LONG 157° 30.0' W, and steam 4505.0 miles on course 135° T. What are the latitude and longitude of your arrival by Mercator sailing?

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🔍 Key Concepts

• Mercator sailing relationships between course, distance, Δlatitude, and Δlongitude • Using sine and cosine of the course to split the 4505 NM into north‑south and east‑west components • Checking signs of the changes (N/S, E/W) based on the quadrant of course 135° T

💭 Think About

• From 22° 35.0' N on course 135° T, should your final latitude be north or south of the Equator, and roughly how many degrees of latitude will you cover if 1° ≈ 60 NM? • On a course of 135° T in the Western Hemisphere, does your longitude increase (go toward 180° and beyond) or decrease (move toward 0°/Greenwich)? • If you treat the distance as a right triangle, which side corresponds to the change in latitude and which to the change in longitude, and which trig function (sine or cosine) goes with each for this course?

✅ Before You Answer

• Confirm that your computed Δlatitude in degrees is consistent with 4505 NM × cos(135°), then apply it (with the correct sign) to 22° 35.0' N • Verify whether your computed Δlongitude would move you to a smaller or larger west longitude starting from 157° 30.0' W • Before picking an option, eliminate any choice that is in the wrong hemisphere (N vs S) or has longitude changing in the wrong direction (W increasing vs decreasing) for a 135° T course from the starting point

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Question 1 of 20

You depart LAT 22° 35.0' N, LONG 157° 30.0' W, and steam 4505.0 miles on course 135° T. What are the latitude and longitude of your arrival by Mercator sailing?

32° 20.0' S, 104° 30.0' W

30° 30.5' S, 102° 35.3' W

32° 20.0' S, 102° 35.3' W

30° 30.5' S, 104° 30.0' W

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Question 1 / 2066636eea28f7522a1c51b066

Question 1 of 2066636eea28f7522a1c51b066

You depart LAT 22° 35.0' N, LONG 157° 30.0' W, and steam 4505.0 miles on course 135° T. What are the latitude and longitude of your arrival by Mercator sailing?

Back

Question 1 of 20

66636eea28f7522a1c51b066

You depart LAT 22° 35.0' N, LONG 157° 30.0' W, and steam 4505.0 miles on course 135° T. What are the latitude and 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