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Whisper galleries are rooms with elliptical-shaped ceilings such that a person standing at one focus point can hear even the slightest whisper spoken by another person standing at the other focus. Suppose that a dome has a semi-elliptical ceiling, 96 feet long and 23 feet high. (0,23) (-48,0) (0,0) (48,0) 1) How far from the center along the major axis should each person be standing to hear the "whispering" effect? Round to 2 decimal places. 2 2a = 96 b=23 t G2 96 a² 62 Z =48 C² = 1483 (23) C=42.13ft C²=1775 2) How far is it from each person's head to the highest point of the ceiling? Round to 2 decimal places necessary. ) Choose 1 person. How far is that person standing from the nearest wall? Round to 2 decimal plac necessary.

Whisper galleries are rooms with elliptical-shaped ceilings such that a person standing at one focus point can hear even the slightest whisper spoken by another person standing at the other focus. Suppose that a dome has a semi-elliptical ceiling, 96 feet long and 23 feet high. (0,23) (-48,0) (0,0) (48,0) 1) How far from the center along the major axis should each person be standing to hear the "whispering" effect? Round to 2 decimal places. 2 2a = 96 b=23 t G2 96 a² 62 Z =48 C² = 1483 (23) C=42.13ft C²=1775 2) How far is it from each person's head to the highest point of the ceiling? Round to 2 decimal places necessary. ) Choose 1 person. How far is that person standing from the nearest wall? Round to 2 decimal plac necessary.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 33E
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Conic Sections Date Period 2 Whisper galleries are rooms with elliptical-shaped ceilings such that a person standing at one focus point can hear even the slightest whisper spoken by another person standing at the other focus. Suppose that a dome has a semi-elliptical ceiling, 96 feet long and 23 feet high. (0,23) (-48,0) (0,0) (48,0) 1) How far from the center along the major axis should each person be standing to hear the "whispering" effect? Round to 2 decimal places. 20=96 b=23 x²+ a62 96 A = =48 Z C² = 1(48) -(23) C=42.13ft 2 C= 1775 2) How far is it from each person's head to the highest point of the ceiling? Round to 2 decimal places if necessary. 3) Choose 1 person. How far is that person standing from the nearest wall? Round to 2 decimal places if necessary.
Transcribed Image Text:Conic Sections Date Period 2 Whisper galleries are rooms with elliptical-shaped ceilings such that a person standing at one focus point can hear even the slightest whisper spoken by another person standing at the other focus. Suppose that a dome has a semi-elliptical ceiling, 96 feet long and 23 feet high. (0,23) (-48,0) (0,0) (48,0) 1) How far from the center along the major axis should each person be standing to hear the "whispering" effect? Round to 2 decimal places. 20=96 b=23 x²+ a62 96 A = =48 Z C² = 1(48) -(23) C=42.13ft 2 C= 1775 2) How far is it from each person's head to the highest point of the ceiling? Round to 2 decimal places if necessary. 3) Choose 1 person. How far is that person standing from the nearest wall? Round to 2 decimal places if necessary.
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