cables of a suspension bridge in the shape of a parabola, as shown in the figure. The towers supporting the cable are 200 feet apart and 20 feet high. If the cables touch the road surface midway between the towers, what is the height of the cable at a point 50 feet from the center of the bridge? 20 ft 200 ft The cable is feet from the road surface at a point 50 feet from the center of the bridge. (Simplify your answer. Type an exact answer, using radicals as needed.)
cables of a suspension bridge in the shape of a parabola, as shown in the figure. The towers supporting the cable are 200 feet apart and 20 feet high. If the cables touch the road surface midway between the towers, what is the height of the cable at a point 50 feet from the center of the bridge? 20 ft 200 ft The cable is feet from the road surface at a point 50 feet from the center of the bridge. (Simplify your answer. Type an exact answer, using radicals as needed.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 200 feet apart and 20 feet
high. If the cables touch the road surface midway between the towers, what is
the height of the cable at a point 50 feet from the center of the bridge?
34
20 ft
200 ft
x
The cable is
feet from the road surface at a point 50 feet from the center
of the bridge.
(Simplify your answer. Type an exact answer, using radicals as needed.)
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