A bridge is built in the shape of a semielliptical arch. The bridge has a span of 100 feet and a maximum height of 10 feet. Choose a suitable rectangular coordinate system and find the height of the arch at a distance of 40 feet from the center. The height is about feet. (Round to two decimal places as needed.)
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We need to find the equation of the semi-elliptical arch. Since the span is 100 feet and the maximum height is 10 feet, we can write the equation as: \[\frac{x^2}{50^2} + \frac{y^2}{10^2} = 1\] Show more…
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