The cables of the suspension bridge are in the shape of parabola. The towers supporting the cable are 100 ft. apart and 100 ft. long. If the cables are at height of 10 ft. midway between the towers, what is the height of the cable at a point 50 ft. from the center of the bridge? What is the standard equation of the parabola that models a cable?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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The cables of the suspension bridge are in the shape of
parabola. The towers supporting the cable are 100 ft.
apart and 100 ft. long. If the cables are at height of 10 ft.
midway between the towers, what is the height of the
cable at a point 50 ft. from the center of the bridge?
What is the standard equation of the parabola that
models a cable?
Transcribed Image Text:The cables of the suspension bridge are in the shape of parabola. The towers supporting the cable are 100 ft. apart and 100 ft. long. If the cables are at height of 10 ft. midway between the towers, what is the height of the cable at a point 50 ft. from the center of the bridge? What is the standard equation of the parabola that models a cable?
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