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Your class in Pre-Calculus went on an educational trip and visited a dome with a cross-section of a semi-ellipse that is 60 ft long and 22.5 ft high at the center. Your teacher shared an interesting fact that the dome has the property that if you and your friend stand at the foci of the ellipse, you can whisper a secret, and your friend will hear it as if you are just inches away. Your friends tried this, and magically, it works. With this, 1. find the distance between the two persons standing at the foci. 2. provide the GENERAL equation of the ellipse following the given information from the cross-section of the dome.

Your class in Pre-Calculus went on an educational trip and visited a dome with a cross-section of a semi-ellipse that is 60 ft long and 22.5 ft high at the center. Your teacher shared an interesting fact that the dome has the property that if you and your friend stand at the foci of the ellipse, you can whisper a secret, and your friend will hear it as if you are just inches away. Your friends tried this, and magically, it works. With this, 1. find the distance between the two persons standing at the foci. 2. provide the GENERAL equation of the ellipse following the given information from the cross-section of the dome.

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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III. Problem-Solving Your class in Pre-Calculus went on an educational trip and visited a dome with a cross-section of a semi-ellipse that is 60 ft long and 22.5 ft high at the center. Your teacher shared an interesting fact that the dome has the property that if you and your friend stand at the foci of the ellipse, you can whisper a secret, and your friend will hear it as if you are just inches away. Your friends tried this, and magically, it works. With this, 1. find the distance between the two persons standing at the foci. 2. provide the GENERAL equation of the ellipse following the given information from the cross-section of the dome.
Transcribed Image Text:III. Problem-Solving Your class in Pre-Calculus went on an educational trip and visited a dome with a cross-section of a semi-ellipse that is 60 ft long and 22.5 ft high at the center. Your teacher shared an interesting fact that the dome has the property that if you and your friend stand at the foci of the ellipse, you can whisper a secret, and your friend will hear it as if you are just inches away. Your friends tried this, and magically, it works. With this, 1. find the distance between the two persons standing at the foci. 2. provide the GENERAL equation of the ellipse following the given information from the cross-section of the dome.
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