A suspension bridge with weight uniformly distributed along its length has twin towers that extend 60 meters above the road surface and are 1200 meters apart. The cables are parabolic in shape and are suspended from the tops of the towers. The cables touch the road surface at the center of the bridge. Find the height of the cables at a point 300 meters from the center. (Assume that the road is level.) The height of the cables is meters. (Simplify your answer.)

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter81: Introduction To Computer Numerical Control (cnc)
Section: Chapter Questions
Problem 4A: A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of...
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A suspension bridge with weight uniformly distributed along its length has twin towers that extend 60 meters above the road surface and are 1200 meters apart. The cables are parabolic in shape and are suspended from the tops of the towers.
The cables touch the road surface at the center of the bridge. Find the height of the cables at a point 300 meters from the center. (Assume that the road is level.)
The height of the cables is
meters.
(Simplify your answer.)
Transcribed Image Text:A suspension bridge with weight uniformly distributed along its length has twin towers that extend 60 meters above the road surface and are 1200 meters apart. The cables are parabolic in shape and are suspended from the tops of the towers. The cables touch the road surface at the center of the bridge. Find the height of the cables at a point 300 meters from the center. (Assume that the road is level.) The height of the cables is meters. (Simplify your answer.)
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