An ellipsoid is a 3D shape whose cross sections are ellipses. A whispering gallery is a...

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An ellipsoid is a 3D shape whose cross sections are ellipses. A whispering gallery is a room with a half-ellipsoid ceiling. If one person whispers from one focus, another person can hear them clearly from the other focus. Suppose a whispering gallery has 5-foot walls. A cross section of the ceiling can be modeled by the ellipse shown below, centered at the origin with a horizontal major axis. If the the maximum height of the ceiling is 13 ft and the width of the room is 34 ft, how far from the closest wall should each person stand? 13- 34 51 An ellipsoid is a 3D shape whose cross sections are ellipses. A whispering gallery is a room with a half-ellipsoid ceiling. If one person whispers from one focus, another person can hear them clearly from the other focus. Suppose a whispering gallery has 5-foot walls. A cross section of the ceiling can be modeled by the ellipse shown below, centered at the origin with a horizontal major axis. If the the maximum height of the ceiling is 13 ft and the width of the room is 34 ft, how far from the closest wall should each person stand? 13- 34 51