An arch is of the form of a semi-ellipse, with its major axis as the span of the arch. If the span is 80 m and the height is 30m, find the height of the arch at a point 15 m from the minor axis.

Expert Answers

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The equation of the arch curve is:



Solve for y.



Substitute 15 for x.



Thus the height of the arc at 15m from the minor axis is 27.8m.

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