In a suspension bridge the shape of the suspension cables is parabolic. The bridge shown in the figure has towers that are a = 520 m apart, and the lowest point of the suspension cables is b= 130 m below the top of the towers. Find the equation of the parabolic part of the cables, placing the origin of the coordinate system at the vertex. [Note: This equation is used to find the length of the cable needed in the construction of the bridge.]
In a suspension bridge the shape of the suspension cables is parabolic. The bridge shown in the figure has towers that are a = 520 m apart, and the lowest point of the suspension cables is b= 130 m below the top of the towers. Find the equation of the parabolic part of the cables, placing the origin of the coordinate system at the vertex. [Note: This equation is used to find the length of the cable needed in the construction of the bridge.]
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 35E
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