Concept explainers
(a)
To find: An equation that models the shape of the cable.
(a)
Answer to Problem 36E
Explanation of Solution
Given information: Construction: The Golden Gate Bridge in San Francisco, California, is a catenary suspension bridge, which is very similar in appearance to a parabola. The main span cables are suspended between two towers that are 4200 feet apart and 500 feet above the roadway. The cable extends 10 feet above the roadway midway between the two towers.
Calculation:
If
This gives us:
(b)
To find: The distance from the roadway is the cable 720 feet from the bridge’s center.
(b)
Answer to Problem 36E
58.78 feet
Explanation of Solution
Given information: Construction: The Golden Gate Bridge in San Francisco, California, is a catenary suspension bridge, which is very similar in appearance to a parabola. The main span cables are suspended between two towers that are 4200 feet apart and 500 feet above the roadway. The cable extends 10 feet above the roadway midway between the two towers.
Calculation:
If
Then at x = 720,
Chapter 10 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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