The distance to the nearest vertex from any...

Question 1 / 2707066636ee928f7522a1c5195d0

Question 1 of 2707066636ee928f7522a1c5195d0

The distance to the nearest vertex from any point on a great circle track cannot exceed __________.

Question 1 of 27070

The distance to the nearest vertex from any point on a great circle track cannot exceed __________.

🔍 Key Concepts

• Great circle vs rhumb line (loxodrome) on a sphere • Maximum possible distance from any point on a circle (or sphere) to a reference point like a vertex or pole • Relationship between Earth’s circumference and distances measured in nautical miles

💭 Think About

• First, recall what a vertex is on a great circle track: where does it occur relative to the poles and the equator? • Think about the geometry of a great circle on a sphere: what is the farthest you can ever be from a specific point on that circle if you are constrained to stay on that same circle? • Use the approximate circumference of the Earth in nautical miles and reason about what fraction of that circumference represents the maximum distance along the great circle between a point and the nearest vertex.

✅ Before You Answer

• Be clear that a great circle is the largest possible circle on a sphere, with radius equal to the Earth’s radius. • Verify the approximate Earth’s circumference in nautical miles and how many nautical miles are in half and a quarter of that circumference. • Check that the value you choose is consistent with a maximum possible distance along the great circle track, not just a random distance on Earth.

Question 1 of 27070

The distance to the nearest vertex from any point on a great circle track cannot exceed __________.

10,800 nautical miles

5400 nautical miles

6080 nautical miles

5840 nautical miles

Question 1 / 2707066636ee928f7522a1c5195d0

Question 1 of 2707066636ee928f7522a1c5195d0

The distance to the nearest vertex from any point on a great circle track cannot exceed __________.

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Question 1 of 27070

The distance to the nearest vertex from any point on a great circle track cannot exceed __________.