Find the height of the bridge over the river exactly 25 feet from the center of the river.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section4.3: Conics
Problem 98E
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An arched footbridge over a 100 foot river is shaped like half of an ellipse. The maximum height of the
bridge over the river is 20 feet.
(L1)
1.
Given the center of the ellipse is at the center of the river, draw and label a diagram of the
ellipse. Then, determine the equation of the ellipse and the exact location of the foci.
スa=lo6f4 →qニ soft
b= 20 Ft
c2 = 2s0o-400
C = raloo
Elipse
+
a s00
400
Foci:(I romm, 0)
400
Equation:_aso.
Foci:.
(L2)
2.
Find the height of the bridge over the river exactly 25 feet from the center of the river.
2.
Transcribed Image Text:An arched footbridge over a 100 foot river is shaped like half of an ellipse. The maximum height of the bridge over the river is 20 feet. (L1) 1. Given the center of the ellipse is at the center of the river, draw and label a diagram of the ellipse. Then, determine the equation of the ellipse and the exact location of the foci. スa=lo6f4 →qニ soft b= 20 Ft c2 = 2s0o-400 C = raloo Elipse + a s00 400 Foci:(I romm, 0) 400 Equation:_aso. Foci:. (L2) 2. Find the height of the bridge over the river exactly 25 feet from the center of the river. 2.
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