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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 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?

Elementary Algebra
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter8: Rational Expressions And Equations
Section8.9: Use Direct And Inverse Variation
Problem 508E: The area of the face of a Ferris wheel varies directly with the square of its radius. If the area of...
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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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