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A mirror is shaped like a paraboloid of revolution and will be used to concentrate the rays of the sun at its focus, creating a heat source. (See the gure.) If the mirror is 30 feet across at its opening and is 14 feet deep, where will the heat source be concentrated? The heat source will be concentrated about lI feet above the bottom of the mirror. A bridge is built in the shape of a parabolic arch. The bridge has a span of s = 180 feet and a maximum height of h = 50 feet. Choose a suitable rectangular coordinate system and nd the height of the arch at distances of 10, 30, and 50 feet from the center. Find the height of the arch at a distance of 10 feet from the center