A cable of a suspension bridge hangs in the form of a parabola when the load is uniformly distributed horizontally. The distance between two towers is 150 meters, the point of support of the cable on the towers are 22 meters above the roadway, and the lowest point on the cable is 7 meters above the roadway. Find the vertical distance to the cable from a point in the roadway 15 meters from the foot of the tower

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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A cable of a suspension bridge hangs in the form of a parabola when the load is uniformly distributed horizontally. The distance between two towers is 150 meters, the point of support of the cable on the towers are 22 meters above the roadway, and the lowest point on the cable is 7 meters above the roadway. Find the vertical distance to the cable from a point in the roadway 15 meters from the foot of the tower.

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