The arch of the bridge below is half an ellipse, a "semi-ellipse". As shown in the figure below, the arch is 166 m long and has a height of 66 m at the center. The point p is located 35 m from the center. Find the height of the arch above point p. Round your answer to the nearest hundredth. Do not round any intermediate computations. 66 m 35 m ? center P -166 m- X

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section: Chapter Questions
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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 166 m long and
has a height of 66 m at the center. The point p is located 35 m from the center. Find the height of the arch above point p.
Round your answer to the nearest hundredth. Do not round any intermediate computations.
66 m
35 m
center
-166 m-
?
7
P
☐m
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 166 m long and has a height of 66 m at the center. The point p is located 35 m from the center. Find the height of the arch above point p. Round your answer to the nearest hundredth. Do not round any intermediate computations. 66 m 35 m center -166 m- ? 7 P ☐m X
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