The latitude of the upper vertex of a great...

Question 1 / 2707066636ee928f7522a1c519a4a

Question 1 of 2707066636ee928f7522a1c519a4a

The latitude of the upper vertex of a great circle is 36°N. What is the latitude of the lower vertex?

Question 1 of 27070

The latitude of the upper vertex of a great circle is 36°N. What is the latitude of the lower vertex?

🔍 Key Concepts

• Relationship between the upper vertex and lower vertex on a great circle that is not a meridian • Symmetry of a great circle track about the Equator when endpoints are in opposite hemispheres • How maximum and minimum latitudes on a great circle** relate in magnitude and hemisphere

💭 Think About

• If a great circle reaches a maximum latitude of 36°N at one vertex, what can you say about how far it dips into the opposite hemisphere, assuming the circle is symmetric about the Equator? • Think about whether the upper and lower vertices of a great circle (other than a meridian) must have the same numerical latitude value or different ones. • Ask yourself: does a great circle that reaches 36°N have to reach the same distance south of the Equator, or could it reach a different latitude south?

✅ Before You Answer

• Be clear on what a vertex of a great circle is: the point of maximum or minimum latitude along the track. • Consider whether great circles (other than meridians) are generally symmetrical about the Equator. • Verify whether the question gives enough information to know the southernmost latitude reached just from knowing the northernmost latitude.

Question 1 of 27070

The latitude of the upper vertex of a great circle is 36°N. What is the latitude of the lower vertex?

36°S

36°N

0°

Cannot be determined from the information given

Question 1 / 2707066636ee928f7522a1c519a4a

Question 1 of 2707066636ee928f7522a1c519a4a

The latitude of the upper vertex of a great circle is 36°N. What is the latitude of the lower vertex?

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Question 1 of 27070

The latitude of the upper vertex of a great circle is 36°N. What is the latitude of the lower vertex?