The cross-section of a nuclear power plant's cooling tower is in the shape of a hyperbola. Suppose the tower has a base diameter of 270 meters and the diameter at its narrowest point. 56 meters above the ground, is 90 meters. If the diameter at the top of the tower is 180 meters, how tall is the tower?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section: Chapter Questions
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The cross-section of a nuclear power plant's cooling tower is in the shape of a hyperbola. Suppose the tower has a base diameter of 270 meters and the diameter at its narrowest point, 56 meters above the ground, is 90 meters. If the diameter at the top of the tower is 180 meters, how tall is the tower?
The tower is about
meters tall.
(Round to one decimal place as needed.)
Transcribed Image Text:The cross-section of a nuclear power plant's cooling tower is in the shape of a hyperbola. Suppose the tower has a base diameter of 270 meters and the diameter at its narrowest point, 56 meters above the ground, is 90 meters. If the diameter at the top of the tower is 180 meters, how tall is the tower? The tower is about meters tall. (Round to one decimal place as needed.)
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