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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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 35E
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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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