The cables of a suspension bridge are in the shape of a parabola, as shown in the figure. The towers supporting the cable are 800 feet apart and 80 feet high. If the cables touch the road surface midway between the towers, what is the height of the cable at a point 200 feet from the center of the bridge? 800 t

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.2: The Ellipse
Problem 62E
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The cables of a suspension bridge are in the shape of a parabola, as shown in the figure. The towers supporting the cable are 800 feet apart and 80 feet high. If the cables touch the road surface midway between the towers, what is the height of
the cable at a point 200 feet from the center of the bridge?
80 ft
200 ft
800 f
Transcribed Image Text:The cables of a suspension bridge are in the shape of a parabola, as shown in the figure. The towers supporting the cable are 800 feet apart and 80 feet high. If the cables touch the road surface midway between the towers, what is the height of the cable at a point 200 feet from the center of the bridge? 80 ft 200 ft 800 f
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