A bridge is to be built in the shape of a semi-elliptical arch and is to have a span of 260 meters. The height of the arch at a distance of 112 meters from the center is to be 33 meters. Find the height of the arch at its center.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter44: Solution Of Equations By The Subtraction, Addition, And Division Principles Of Equality
Section: Chapter Questions
Problem 38A
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A bridge is to be built in the shape of a semi-elliptical arch and is to have a span of 260 meters. The height of the arch at a distance of 112 meters from the center is to be 33 meters. Find the height of the arch at its center.

 

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