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 celling are reflected to the other person. If a whispering gallery has a length of 314 meters, and the foci are located 85 meters from the center, find the height of the cellting at the center.

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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 celling are reflected to the other person. If a whispering gallery has a
length of 314 meters, and the foci are located 85 meters from the center, find the
height of the cellting at the center.
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Transcribed Image Text

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 celling are reflected to the other person. If a whispering gallery has a length of 314 meters, and the foci are located 85 meters from the center, find the height of the cellting at the center.

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