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A person in a whispering gallery standing at one focus of the ellipse can whisper and be heard by a person standing at the other focus because all the sound waves that reach the ceiling are reflected to the other person. If a whispering gallery has a length of 200 meters, and the foci are located 28 meters from the center, find the height of the ceiling at the center.

OpenStax Precalculus

Height:

OpenStax Precalculus

Height:

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Box 1: Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172

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96

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meters