horrible word problem! (elliptical room)

ladyelks42

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May 17, 2006
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The United States capitol building contains an elliptical room. It is 96 feet in length and 46 feet in width. John Q. Adams discovered the he could overhear the conversations being held at the opposing party leaders desk if he stood in a certain spot in the elliptical chamber.

Describe the position of the desk and how far away Adams had to stand to overhear. Prove it - include an equation of the room's shape and why that matters to this problem.
 
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