1. A semielliptical bridge is 150 feet wide and 80 feet tall at the center. How high is the bridge 45 feet from the center (nearest tenth)? Complete each part below. a) Draw a sketch of the problem. Label with information given in problem. Hint: make the center (0, 0) b) Write an equation for the full ellipse in standard form. c) Use the equation from part (b) to answer the question: How high is the bridge 45 feet from the center (nearest tenth)?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.2: The Ellipse
Problem 70E
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1. A semielliptical bridge is 150 feet wide and 80 feet tall at the center. How high is the bridge 45 feet from
the center (nearest tenth)?
Complete each part below.
a) Draw a sketch of the problem. Label with information given in problem. Hint: make the center
(0, 0)
b) Write an equation for the full ellipse in standard form.
c) Use the equation from part (b) to answer the question: How high is the bridge 45 feet from the
center (nearest tenth)?
Transcribed Image Text:1. A semielliptical bridge is 150 feet wide and 80 feet tall at the center. How high is the bridge 45 feet from the center (nearest tenth)? Complete each part below. a) Draw a sketch of the problem. Label with information given in problem. Hint: make the center (0, 0) b) Write an equation for the full ellipse in standard form. c) Use the equation from part (b) to answer the question: How high is the bridge 45 feet from the center (nearest tenth)?
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