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2.6.4 Practice: Modeling: Pendulums and Bridges
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  • 2.6.4 Practice: Modeling: Pendulums And Bridges

Over the ravine! You are helping to design a road for a high mountain pass. There are two routes over the pass, but both have to cross steep ravines. Use what you know about solving radical functions to design a bridge that will safely cross the ravine. Your bridge 1. What is the horizontal di...

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  • February 16, 2023
  • 4
  • 2022/2023
  • Other
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  • 264 practice modeling pendulums and bridges

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  • 2.6.4 Practice: Modeling: Pendulums and Bridges
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2.6.4 Practice: Modeling: Pendulums and Bridges

YOUR ASSIGNMENT:




Over the ravine!

You are helping to design a road for a high mountain pass. There are two routes over the pass, but both
have to cross steep ravines. Use what you know about solving radical functions to design a bridge that
will safely cross the ravine.

Your bridge

1. What is the horizontal distance that your bridge must span to clear the ravine? ​(1 point)

The figure below represents your bridge, where the horizontal distance from one edge of the ravine to the
other is ​x​, the rise of the bridge from one side of the ravine to the other is ​y​, and the length of the bridge
deck is ​r​.




Horizontal distance is 150

2. Write a function that models the relationships among ​x, y,​ and ​r​. (Hint: Use the Pythagorean theorem.)
Then solve the equation for ​r​ in terms of ​x​ and ​y​.

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