Whispering gallery The ceiling of a whispering gallery has the shape of the

Chapter 10, Problem 10.2.65

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Whispering gallery The ceiling of a whispering gallery has the shape of the hemi-ellipsoid shown in Figure 14, with the highest point of the ceiling 15 feet above the elliptical floor and the vertices of the floor 50 feet apart. If two people are standing at the foci and F, how far from the vertices are their feet?

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