Answer: Architecture A semielliptical arch over a tunnel

Chapter 9, Problem 9.2.47

(choose chapter or problem)

Architecture A semielliptical arch over a tunnel for a road through a mountain has a major axis of 100 feet and a height at the center of 40 feet. (a) Draw a rectangular coordinate system on a sketch of the tunnel with the center of the road entering the tunnel at the origin. Identify the coordinates of the known points. (b) Find an equation of the semielliptical arch over the tunnel. (c) Determine the height of the arch 5 feet from the edge of the tunnel.

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