The Gateway Arch in St. Louis was constructed using the equation y = 211.49 − 20.96 cosh 0.03291765x.

The Gateway Arch in St. Louis was designed by Eero Saarinen and was constructed using the equation y = 211.49 − 20.96 cosh 0.03291765x for the central curve of the arch, where x and y are in meters and |x| ≤ 91.20″ At what points is the height 30 m? What is the slope of the arch at the points?

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