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Precalculus: Graphical, Numerical, Algebraic | 8th Edition | ISBN: 9780321656933 | Authors: Franklin Demana, Bert K. Waits, Gregory D. Foley, Daniel Kennedy, Dave Bock
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Group Activity Designing a Suspension Bridge The main cables of a suspension bridge

Chapter 8, Problem 8.1.1.73

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QUESTION:

Group Activity Designing a Suspension Bridge The main cables of a suspension bridge uniformly distribute the weight of the bridge when in the form of a parabola. The main cables of a particular bridge are attached to towers that are 600 ft apart. The cables are attached to the towers at a height of 110 ft above the roadway and are 10 ft above the roadway at their lowest points. If vertical support cables are at 50-ft intervals along the level roadway, what are the lengths of these vertical cables?

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QUESTION:

Group Activity Designing a Suspension Bridge The main cables of a suspension bridge uniformly distribute the weight of the bridge when in the form of a parabola. The main cables of a particular bridge are attached to towers that are 600 ft apart. The cables are attached to the towers at a height of 110 ft above the roadway and are 10 ft above the roadway at their lowest points. If vertical support cables are at 50-ft intervals along the level roadway, what are the lengths of these vertical cables?

ANSWER:

Step 1 of 5

The cables of suspension bridge is shown below

Assume that axis is along  -axis

Clearly lowest point is vertex, vertex is  above the ground

Parabola will be in the form of

Endpoints of the parabola will be  

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