Solved: Gateway Arch The Gateway Arch in St. Louis is

Chapter , Problem 11.2.75

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Gateway Arch The Gateway Arch in St. Louis is often mistaken to be parabolic is shape. In fact, it is a catenary, which has a more complicated formula than a parabola. The Arch is 625 feet high and 598 feet wide at its base. (a) Find the equation of a parabola with the same dimensions. Let x equal the horizontal distance from the center of the arc. (b) The table below gives the height of the Arch at various widths; find the corresponding heights for the parabola found in (a). Width (tt) 567 478 308 Height (tt) 100 31 2.5 525 (c) Do the data support the notion that the Arch is in the shape of a parabola? Source: Wikipedia, the free encyclopedia

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