Please help solve the following problem:
A bridge is built in the shape of a semielliptical arch. It has a span of 100 feet. The height of the arch 29 feet from the center is to be 11 feet. Find the height of the arch at its center.
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We can use
We are given that it passes through the point (29,11) and (50,0).
The vertex is at (h,k)=(0,k)
Solve for a and k. k is the value we want for the height at the center. The y-coordinate of the vertex.
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