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To calculate: The distances x for which the arch is above the road.
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Answer to Problem 45E
The arch is above the road from 55.213 meters from pylon to 447.156 meters from the same pylon.
Explanation of Solution
Given information:
The model of the arch:
Distance from the left pylons = x meters
Height of the arch above the water:
Formula used:
Perimeter of a rectangle:
Perimeter of a rectangle is
Area of the rectangle:
Area of a rectangle is
Calculation:
The given model of the arch is
The height of the arch above the water is
Substitute 52 for y in the given equation.
Solve the above equation using the quadratic formula
Substitute 0.00211 for a , −1.06 for b and 52 for c in the above formula.
Solve for x .
And,
Hence, the arch is above the road from 55.213 meters from pylon to 447.156 meters from the same pylon.
Chapter 3 Solutions
Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education
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