The cables of a suspension bridge are in the shape of a parabola, as shown in the figure. The towers supporting the cable are 800 feet apart and 80 feet high. If the cables touch the road surface midway between the towers, what is the height of the cable at a point 200 feet from the center of the bridge? y 80 ft 800 ft The cable is | feet from the road surface at a point 200 feet from the center of the bridge. (Simplify your anwer.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The cables of a suspension bridge are in the shape of a parabola, as shown in the figure. The towers
supporting the cable are 800 feet apart and 80 feet high. If the cables touch the road surface midway between
the towers, what is the height of the cable at a point 200 feet from the center of the bridge?
y
80 ft
800 ft
The cable is
| feet from the road surface at a point 200 feet from the center of the bridge.
(Simplify your anwer.)
Transcribed Image Text:The cables of a suspension bridge are in the shape of a parabola, as shown in the figure. The towers supporting the cable are 800 feet apart and 80 feet high. If the cables touch the road surface midway between the towers, what is the height of the cable at a point 200 feet from the center of the bridge? y 80 ft 800 ft The cable is | feet from the road surface at a point 200 feet from the center of the bridge. (Simplify your anwer.)
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