6. The Statuary Hall in the Capitol Building in Washington, D.C. is a whispering chamber. Its dimensions are 46 feet wide by 96 feet long as shown. a. What is the standard form of the equation of the ellipse representing the outline of the room? Hint: assume a horizontal ellipse, and let the center of the room be the point (0,0). b. If two senators standing at the foci of this room can hear each other whisper, how far apart are the senators? Round to the nearest foot. 96 feet 46 feet

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6. The Statuary Hall in the Capitol Building in Washington, D.C. is a whispering chamber. Its
dimensions are 46 feet wide by 96 feet long as shown.
a. What is the standard form of the equation of the ellipse representing the outline of the room?
Hint: assume a horizontal ellipse, and let the center of the room be the point (0,0).
b. If two senators standing at the foci of this
room can hear each other whisper, how
far apart are the senators? Round to the
nearest foot.
96 feet
46 feet
Transcribed Image Text:6. The Statuary Hall in the Capitol Building in Washington, D.C. is a whispering chamber. Its dimensions are 46 feet wide by 96 feet long as shown. a. What is the standard form of the equation of the ellipse representing the outline of the room? Hint: assume a horizontal ellipse, and let the center of the room be the point (0,0). b. If two senators standing at the foci of this room can hear each other whisper, how far apart are the senators? Round to the nearest foot. 96 feet 46 feet
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