A bridge with a parabolic shape has an opening 128 feet wide at the base of the bridge (where the bridge meets the water), and the height in the center of the bridge is 33 feet. A sailboat whose mast reaches 27 feet above the water is traveling under the bridge 15 feet from the center of the bridge. Will it clear the bridge without scraping its mast? Justify your answer.
A bridge with a parabolic shape has an opening 128 feet wide at the base of the bridge (where the bridge meets the water), and the height in the center of the bridge is 33 feet. A sailboat whose mast reaches 27 feet above the water is traveling under the bridge 15 feet from the center of the bridge. Will it clear the bridge without scraping its mast? Justify your answer.
Chapter4: Rational Functions And Conics
Section: Chapter Questions
Problem 20T
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A bridge with a parabolic shape has an opening 128 feet wide at the base of the bridge (where the bridge meets the water), and the height in the center of the bridge is 33 feet. A sailboat whose mast reaches 27 feet above the water is traveling under the bridge 15 feet from the center of the bridge. Will it clear the bridge without scraping its mast? Justify your answer.
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