The cables of a suspension bridge are in the shape of a parabola. The towers supporting cable are 400 ft apart and 150 ft high from the ground. If the cable, at its lowest, is 30 ft above the bridge at its midpoint, how high is the cable 50ft. away (horizontally) from either tower?

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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The cables of a suspension bridge are in the shape of a parabola. The towers supporting cable are 400 ft apart and 150 ft high from the ground. If the cable, at its lowest, is 30 ft above the bridge at its midpoint, how high is the cable 50ft. away (horizontally) from either tower? 

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