The cables of the suspension bridge are in the shape of parabola. The towers supporting the cable are 100 ft. apart and 100 ft. long. If the cables are at height of 10 ft. midway between the towers, what is the height of the cable at a point 50 ft. from the center of the bridge? What is the standard equation of the parabola that models a cable?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 54E
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The cables of the suspension bridge are in the shape of
parabola. The towers supporting the cable are 100 ft.
apart and 100 ft. long. If the cables are at height of 10 ft.
midway between the towers, what is the height of the
cable at a point 50 ft. from the center of the bridge?
What is the standard equation of the parabola that
models a cable?
Transcribed Image Text:The cables of the suspension bridge are in the shape of parabola. The towers supporting the cable are 100 ft. apart and 100 ft. long. If the cables are at height of 10 ft. midway between the towers, what is the height of the cable at a point 50 ft. from the center of the bridge? What is the standard equation of the parabola that models a cable?
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