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?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section: Chapter Questions
Problem 20T
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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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