The Arch is an inverted (upside down) catenary curve, which means that it follows a hyperbolic trajectory. In fact, the central curve of the Arch can be modeled with the function y = 693.8597 – 68.6772 cosh(.0100333z) with x and y both in feet. Check out the graph of this function at desmos . Determine the maximum height of the Arch using this function and calculus (note the actual height is given as 630 feet, but this measures to the top surface of the Arch, while this function models the central curve, cutting through the middle of the structure).

The Arch is an inverted (upside down) catenary curve, which means that it follows a hyperbolic trajectory. In fact, the central curve of the Arch can be modeled with the function y = 693.8597 – 68.6772 cosh(.0100333z) with x and y both in feet. Check out the graph of this function at desmos . Determine the maximum height of the Arch using this function and calculus (note the actual height is given as 630 feet, but this measures to the top surface of the Arch, while this function models the central curve, cutting through the middle of the structure).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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