The U$.$S$.$ Capital building contains an elliptical room called the Whispering Gallery. It is $96$ ft in length and $46$ ft in width. Write an equation to describe the shape of the room.Assume that it is centered at the origin and that the major axis ishorizontal. John Quincy Adams discovered that he could overhear the conversations being held at the opposing party leader's 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 the conversation.