Statuary Hall is an elliptical roomin the United States Capitol in Washington, D.C. Theroom is also called the Whispering Gallery because aperson standing at one focus of the room can hear even awhisper spoken by a person standing at the other focus.This occurs because any sound emitted from one focus ofan ellipse reflects off the side of the ellipse to the otherfocus. Statuary Hall is 46 feet wide and 97 feet long.(a) Find an equation that models the shape of the room.(b) How far apart are the two foci?(c) What is the area of the floor of the room? (The areaof an ellipse is A = πab.)
Statuary Hall is an elliptical roomin the United States Capitol in Washington, D.C. Theroom is also called the Whispering Gallery because aperson standing at one focus of the room can hear even awhisper spoken by a person standing at the other focus.This occurs because any sound emitted from one focus ofan ellipse reflects off the side of the ellipse to the otherfocus. Statuary Hall is 46 feet wide and 97 feet long.(a) Find an equation that models the shape of the room.(b) How far apart are the two foci?(c) What is the area of the floor of the room? (The areaof an ellipse is A = πab.)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Statuary Hall is an elliptical room
in the United States Capitol in Washington, D.C. The
room is also called the Whispering Gallery because a
person standing at one focus of the room can hear even a
whisper spoken by a person standing at the other focus.
This occurs because any sound emitted from one focus of
an ellipse reflects off the side of the ellipse to the other
focus. Statuary Hall is 46 feet wide and 97 feet long.
(a) Find an equation that models the shape of the room.
(b) How far apart are the two foci?
(c) What is the area of the floor of the room? (The area
of an ellipse is A = πab.)
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