The parabolic cable of a suspension bridge is 50 feet above the roadbed at the ends of the bridge and is 10 feet above it at the center of the bridge. [See the diagram below. ] The vertical support cables that are drawn are evenly spaced every 20 feet along the bridge. 50 feet 10 feet high 340 feet Write down the equation of the parabola. Notice that thex-axis and y-axis are already drawn in the figure. Show all work. Give exact answers, or decimals accurate to at least 6 decimal places. Calculate the length of the vertical support cable that is marked with a "w" in the diagram. Show your work. Give answer accurate to 2 decimal places. a) b)
The parabolic cable of a suspension bridge is 50 feet above the roadbed at the ends of the bridge and is 10 feet above it at the center of the bridge. [See the diagram below. ] The vertical support cables that are drawn are evenly spaced every 20 feet along the bridge. 50 feet 10 feet high 340 feet Write down the equation of the parabola. Notice that thex-axis and y-axis are already drawn in the figure. Show all work. Give exact answers, or decimals accurate to at least 6 decimal places. Calculate the length of the vertical support cable that is marked with a "w" in the diagram. Show your work. Give answer accurate to 2 decimal places. a) b)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![The parabolic cable of a suspension bridge is 50 feet above the roadbed at the ends of the bridge and is 10 feet above it at the center of the bridge. [See the diagram below.] The vertical support cables that are drawn are evenly spaced every 20 feet along the bridge.
**Diagram Explanation:**
- The diagram shows a parabolic cable structure of a suspension bridge.
- The cable rises to 50 feet at both ends and dips to 10 feet at the center of the bridge.
- The total length of the bridge is 340 feet.
- Vertical support cables are illustrated, spaced every 20 feet across the bridge.
- The x-axis and y-axis are already drawn in the figure.
**Tasks:**
a) **Equation of the Parabola**
- Write down the equation of the parabola. Notice that the x-axis and y-axis are already drawn in the figure. Show all work. Give exact answers, or decimals accurate to at least 6 decimal places.
b) **Calculate the Length of the Vertical Support Cable**
- Calculate the length of the vertical support cable that is marked with a "w" in the diagram. Show your work. Give the answer accurate to 2 decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8f19db68-e430-43ee-998b-3e18aabae7e5%2Fc1da0ef1-12a2-4fe0-85c4-0ebded714949%2Fkb3ip1e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The parabolic cable of a suspension bridge is 50 feet above the roadbed at the ends of the bridge and is 10 feet above it at the center of the bridge. [See the diagram below.] The vertical support cables that are drawn are evenly spaced every 20 feet along the bridge.
**Diagram Explanation:**
- The diagram shows a parabolic cable structure of a suspension bridge.
- The cable rises to 50 feet at both ends and dips to 10 feet at the center of the bridge.
- The total length of the bridge is 340 feet.
- Vertical support cables are illustrated, spaced every 20 feet across the bridge.
- The x-axis and y-axis are already drawn in the figure.
**Tasks:**
a) **Equation of the Parabola**
- Write down the equation of the parabola. Notice that the x-axis and y-axis are already drawn in the figure. Show all work. Give exact answers, or decimals accurate to at least 6 decimal places.
b) **Calculate the Length of the Vertical Support Cable**
- Calculate the length of the vertical support cable that is marked with a "w" in the diagram. Show your work. Give the answer accurate to 2 decimal places.
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