5 feet 900 feet In the suspension bridge above, the two large cables connected to the two towers swing down in curves that are parabolas. Each tower rises 130 feet above the roadway and the towers are 900 feet apart. At the center of the bridge, the two curved cables are 5 feet above the roadway. There are vertical cables that connect the roadway to these curved cables. The vertical cables are placed 75 feet apart. Vertical cables are not necessary at either of the towers. Suppose this bridge was damaged during a wind storm. Your job is to order new vertical cables to replace the ones between the two towers on the bridge. Answer the following questions. You must show all your work to receive full credit. 1. Write the equation of the parabola in standard form (standard form is (x-h)² = 4p(y-k) ). Use the center of the roadway as the origin (0,0).
5 feet 900 feet In the suspension bridge above, the two large cables connected to the two towers swing down in curves that are parabolas. Each tower rises 130 feet above the roadway and the towers are 900 feet apart. At the center of the bridge, the two curved cables are 5 feet above the roadway. There are vertical cables that connect the roadway to these curved cables. The vertical cables are placed 75 feet apart. Vertical cables are not necessary at either of the towers. Suppose this bridge was damaged during a wind storm. Your job is to order new vertical cables to replace the ones between the two towers on the bridge. Answer the following questions. You must show all your work to receive full credit. 1. Write the equation of the parabola in standard form (standard form is (x-h)² = 4p(y-k) ). Use the center of the roadway as the origin (0,0).
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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5 feet
900 feet
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In the suspension bridge above, the two large cables connected to the two towers swing
down in curves that are parabolas. Each tower rises 130 feet above the roadway and
the towers are 900 feet apart. At the center of the bridge, the two curved cables are 5
feet above the roadway. There are vertical cables that connect the roadway to these
curved cables. The vertical cables are placed 75 feet apart. Vertical cables are not
necessary at either of the towers. Suppose this bridge was damaged during a wind
storm. Your job is to order new vertical cables to replace the ones between the two
towers on the bridge.
Answer the following questions. You must show all your work to receive full
credit.
1. Write the equation of the parabola in standard form (standard form is (x - h)² =
4p(y-k) ). Use the center of the roadway as the origin (0,0).
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Latus Rectum:
Domain:
Range:
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Distance
from center
of bridge to
vertical cable
(absolute
value of x)
0
Length of
vertical cable
(y)
5
Total number of cables needed:
Total length of cables needed:
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nit 11
3. Determine the number and length of each of the vertical cables needed between
the two towers. Include the total feet of all the vertical cables added together.
Enter your data in the table below. Round each length to the nearest tenth of a
foot. Some data has been entered for you already.
Normal
Total number
of vertical
cables of
each length
2
4
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Total length
of each type
of cable
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