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Q4-The United States Capitol has a room with an elliptical ceiling. This type of room is called a whispering gallery because sound that is projected from one focus of an ellipse reflects off the ceiling and back to the other focus. The room in the Capitol is 96 feet in length, , and the maximum height of the ceiling is 22.5 ft. a. Write an equation modeling the shape of the room. Assume that it is centered at the origin and that the major axis is horizontal. b. Find the location of the two foci. c. How far from one focus would one have to stand to be able to hear the sound reflecting from the other focus?

Q4-The United States Capitol has a room with an elliptical ceiling. This type of room is called a whispering gallery because sound that is projected from one focus of an ellipse reflects off the ceiling and back to the other focus. The room in the Capitol is 96 feet in length, , and the maximum height of the ceiling is 22.5 ft. a. Write an equation modeling the shape of the room. Assume that it is centered at the origin and that the major axis is horizontal. b. Find the location of the two foci. c. How far from one focus would one have to stand to be able to hear the sound reflecting from the other focus?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Q4-The United States Capitol has a room with an elliptical ceiling. This type of room is called a whispering gallery because sound that is projected from one focus of an ellipse reflects off the ceiling and back to the other focus. The room in the Capitol is 96 feet in length, , and the maximum height of the ceiling is 22.5 ft. a. Write an equation modeling the shape of the room. Assume that it is centered at the origin and that the major axis is horizontal. b. Find the location of the two foci. c. How far from one focus would one have to stand to be able to hear the sound reflecting from the other focus?
Transcribed Image Text:Q4-The United States Capitol has a room with an elliptical ceiling. This type of room is called a whispering gallery because sound that is projected from one focus of an ellipse reflects off the ceiling and back to the other focus. The room in the Capitol is 96 feet in length, , and the maximum height of the ceiling is 22.5 ft. a. Write an equation modeling the shape of the room. Assume that it is centered at the origin and that the major axis is horizontal. b. Find the location of the two foci. c. How far from one focus would one have to stand to be able to hear the sound reflecting from the other focus?
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