A semielliptical arch over a tunnel for a one-way road through a mountain has a major axis of 50 feet and a height at the center of 10 feet. (a) Sketch the arch on a rectangular coordinate system with the center of the road entering the tunnel at the origin. Identify the coordinates of the known points. y y k0, 25) k0, 10) (-5, 0) (5, 0) (-25, 0) (25, 0) 0, 25) 70, 5) (-10, 0) (10, 0) (-25, 0) (25, 0) (b) Find an equation of the semieliptical arch over the tunnel. (c) You are driving a moving truck that has a width of 8 feet and a height of 11 feet. Will the moving truck clear the opening of the arch? O Yes O No

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