The arch of the bridge below is half an ellipse, a "semi-ellipse". As shown in the figure below, the arch is 150 m long and has a height of 48 m at the center. The height of the arch is 17 m at point p. Find the distance from p to the center. Round your answer to the nearest hundredth. Do not round any intermediate computations. 48 m center 150 m- 17 m P m

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 8E
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The arch of the bridge below is half an ellipse, a "semi-ellipse". As shown in the figure below, the arch is 150 m long and
has a height of 48 m at the center. The height of the arch is 17 m at point p. Find the distance from p to the center.
Round your answer to the nearest hundredth. Do not round any intermediate computations.
48 m
?
center
-150 m-
17 m
7
р
X
Transcribed Image Text:The arch of the bridge below is half an ellipse, a "semi-ellipse". As shown in the figure below, the arch is 150 m long and has a height of 48 m at the center. The height of the arch is 17 m at point p. Find the distance from p to the center. Round your answer to the nearest hundredth. Do not round any intermediate computations. 48 m ? center -150 m- 17 m 7 р X
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