The reflective property of an ellipse is the principle behind "whispering galleries." These are rooms with elliptically shaped ceilings such that a person standing at one focus can hear even the slightest whisper spoken by another person standing at the other focus. Suppose that a dome has a semielliptical ceiling, 96 ft long and 23 ft high. Choose a coordinate system so that the center of the semiellipse is (0, 0) with vertices (-48, 0) and (48, 0) and with the top of the ceiling at (0, 23). t(0, 23) (-48, 0) (0, 0) |(48, 0) Approximately how far from the center along the major axis should each person be standing to hear the "whispering" effect? Round to 1 decimal place.

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Chapter27: Wave Optics
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58. The reflective property of an ellipse is the principle behind "whispering galleries." These are rooms with
elliptically shaped ceilings such that a person standing at one focus can hear even the slightest whisper
spoken by another person standing at the other focus.
Suppose that a dome has a semielliptical ceiling, 96 ft long and 23 ft high. Choose a coordinate system
so that the center of the semiellipse is (0, 0) with vertices (-48, 0) and (48, 0) and with the top of the
ceiling at (0, 23).
t(0, 23)
(-48, 0)
(0,0)
(48, 0)
Approximately how far from the center along the major axis should each person be standing to hear the
"whispering" effect? Round to 1 decimal place.
Transcribed Image Text:58. The reflective property of an ellipse is the principle behind "whispering galleries." These are rooms with elliptically shaped ceilings such that a person standing at one focus can hear even the slightest whisper spoken by another person standing at the other focus. Suppose that a dome has a semielliptical ceiling, 96 ft long and 23 ft high. Choose a coordinate system so that the center of the semiellipse is (0, 0) with vertices (-48, 0) and (48, 0) and with the top of the ceiling at (0, 23). t(0, 23) (-48, 0) (0,0) (48, 0) Approximately how far from the center along the major axis should each person be standing to hear the "whispering" effect? Round to 1 decimal place.
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