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How far apart are the foci of an ellipse with a major axis of 26 feet and a minor axis of 24 feet?
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How far apart are the foci of an ellipse with a major axis of 26 feet and a minor axis of 24 feet?

User Kyle Swanson
by
8.9k points

2 Answers

1 vote
The distance should be 10 feet
User James Irwin
by
8.2k points
5 votes
Let the major axis = 2a , and the minor axis = 2b
∴ a = 26/2 = 13 and b = 24/2 = 12
and the equation of foci:
c² = a² - b²
= 13² - 12² = 169 - 144 = 25
∴ c = √25 = 5

∴ The distance between the foci = 2 * 5 = 10
User Sarvesh Yadav
by
8.7k points
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