The design of the Gateway Arch in St. Louis, Missouri, by architect Eero Saarinan was implemented using equations provided by Dr. Hannskarl Badel. The equation used for the centerline of the arch was y = 693.8597 −68.7672 cosh (0.0100333x)ft for x between −299.2239 and 299.2239. (a) Use a graphing utility to graph the centerline of the arch. (b) Find the length of the centerline to four decimal places. (c) For what values of x is the height of the arch 100 ft? Round your answers to four decimal places. (d) Approximate, to the nearest degree, the acute angle that the tangent line to the centerline makes with the ground at the ends of the arch.
The design of the Gateway Arch in St. Louis, Missouri, by architect Eero Saarinan was implemented using equations provided by Dr. Hannskarl Badel. The equation used for the centerline of the arch was y = 693.8597 −68.7672 cosh (0.0100333x)ft for x between −299.2239 and 299.2239. (a) Use a graphing utility to graph the centerline of the arch. (b) Find the length of the centerline to four decimal places. (c) For what values of x is the height of the arch 100 ft? Round your answers to four decimal places. (d) Approximate, to the nearest degree, the acute angle that the tangent line to the centerline makes with the ground at the ends of the arch.
Chapter11: Conics
Section11.1: Distance And Midpoint Formulas; Circles
Problem 52E: In your own words, explain the steps you would take to change the general form of the equation of a...
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The design of the Gateway Arch in St. Louis, Missouri, by architect Eero Saarinan was implemented using equations provided by Dr. Hannskarl Badel. The equation used for the centerline of the arch was y = 693.8597 −68.7672 cosh (0.0100333x)ft for x between −299.2239 and 299.2239.
(a) Use a graphing utility to graph the centerline of the arch.
(b) Find the length of the centerline to four decimal places.
(c) For what values of x is the height of the arch 100 ft? Round your answers to four decimal places.
(d) Approximate, to the nearest degree, the acute angle that the tangent line to the centerline makes with the ground at the ends of the arch.
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