The cables of a suspension bridge are in the shape of a parabola. The towers supporting the cable are 400 feet apart and 100 feet height. If the cables touch the road midway between the towers, what is the height of the cable at a point 50 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.
Chapter4: Quadrilaterals
Section4.4: The Trapezoid
Problem 23E: Each vertical section of a suspension bridge is in the shape of a trapezoid. For additional support,...
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10.
The cables of a suspension bridge are in the shape of a parabola. The towers supporting the
cable are 400 feet apart and 100 feet height. If the cables touch the road midway between the
towers, what is the height of the cable at a point 50 feet from the center of the bridge?
Transcribed Image Text:10. The cables of a suspension bridge are in the shape of a parabola. The towers supporting the cable are 400 feet apart and 100 feet height. If the cables touch the road midway between the towers, what is the height of the cable at a point 50 feet from the center of the bridge?
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