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OpenStax, Algebra and Trigonometry 2e §12.1 The Ellipse · Exercise 71 · Geometry · Conic sections

The Ellipse · Exercise 71

An arch has the shape of a semi-ellipse (the top half of an ellipse). The arch has a height of 8 feet and a span of 20 feet. Find an equation for the ellipse, and use that to find the height to the nearest 0.01 foot of the arch at a distance of 4 feet from the center.

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OpenStax, Algebra and Trigonometry 2e · §12.1 The Ellipse · Exercise 71

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