Lemma
EasyConic sections
OpenStax, Algebra and Trigonometry 2e §12.1 The Ellipse · Try It 9 · Geometry · Conic sections

The Ellipse · Try It 9

Suppose a whispering chamber is 480 feet long and 320 feet wide.
ⓐ What is the standard form of the equation of the ellipse representing the room? Hint: assume a horizontal ellipse, and let the center of the room be the point
ⓑ If two people are standing at the foci of this room and can hear each other whisper, how far apart are the people? Round to the nearest foot.

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OpenStax, Algebra and Trigonometry 2e · §12.1 The Ellipse · Try It 9

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