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An elliptical arch has a base of 18 feet and is 4 feet tall in the middle. Find the height of the arch 3 feet

An elliptical arch has a base of 18 feet and is 4 feet tall in the middle. Find the height of the arch 3 feet in from the base of the arch. Remember an arch is half an ellipse. Round your answer to the nearest thousandth.

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