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OpenStudy (anonymous):
Whispering galleries are rooms designed with elliptical ceilings. A person 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. Tom, standing at one focus of a whispering gallery, is 6 feet from the nearest wall. His friend is standing at the other focus, 100 feet away. a) What is the length of this whispering gallery? b) How high is its elliptical ceiling at the center?
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