Conic Section Ellipses Application
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Conic Section Ellipses Application

[From: ] [author: ] [Date: 12-05-09] [Hit: ]
a = 50,c = 40 => from the center 40 fton both sides.......
If an elliptical whisphering room has a height of 30ft and a width of 100 feet, where should two people stand if they would like to whisper back and forth and be heard?

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major axis is horizontal standard form
(x-h)^2 / a^2 + (y-k)^2 / b^2 = 1

center : (h,k)
a => distance from center to vertices
b => distance from center to co vertices
c => distance from center to focus.
c^2 = a^2 - b^2


find the focus.
a = 50, b =30
c^2 = a^2-b^2
c = 40 => from the center 40 ft on both sides.
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