A suspension bridge has twin towers that are 1300 feet apart. Each tower extends 180 feet above the road surface. The cables are parabolic in shape and are suspended from the tops of the towers. The cables touch the road surface at the center of the bridge. Find the height of the cable at a point 200 feet from the center of the bridge.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.2: Pyramids, Area, And Volume
Problem 31E
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8. A suspension bridge has twin towers that are 1300 feet apart. Each tower extends 180 feet above the road surface The
cables are parabolic in shape and are suspended from the tops of the towers. The cables touch the road surface at the
center of the bridge. Find the height of the cable at a point 200 feet from the center of the bridge.
Transcribed Image Text:8. A suspension bridge has twin towers that are 1300 feet apart. Each tower extends 180 feet above the road surface The cables are parabolic in shape and are suspended from the tops of the towers. The cables touch the road surface at the center of the bridge. Find the height of the cable at a point 200 feet from the center of the bridge.
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We have to find  the height of the cable at a point 200 feet from the center of the bridge.

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