An arch is in the form of a semi-ellipse that has a span of 250 ft and with the greatest height of 50 ft. There are two vertical supports equidistant from each other, and 25 ft away from the midpoint of the span. Find the height of the vertical support.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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An arch is in the form of a semi-ellipse that has a span of 250 ft and with the greatest height of 50 ft. There are two vertical supports equidistant from each other, and 25 ft away from the midpoint of the span. Find the height of the vertical support.
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