An arch has the shape of a semi-ellipse. The arch has a height of 12 feet and a span of

Chapter 8, Problem 65

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An arch has the shape of a semi-ellipse. The arch has a height of 12 feet and a span of 40 feet. Find an equation for the ellipse, and use that to find the distance from the center to a point at which the height is 6 feet. Round to the nearest hundredth.

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