13. Suspension Bridge A suspension bridge with weight uniformly distributed along its length has twin towers that extend 75 meters above the road surface and are 400 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 100 meters from the center. (Assume that the road is level.)

Elementary Geometry For College Students, 7e
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Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Chapter4: Quadrilaterals
Section4.2: The Parallelogram And Kite
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13. Suspension Bridge A suspension bridge with weight
uniformly distributed along its length has twin towers that
extend 75 meters above the road surface and are 400 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 100 meters from the center. (Assume that
the road is level.)
Transcribed Image Text:13. Suspension Bridge A suspension bridge with weight uniformly distributed along its length has twin towers that extend 75 meters above the road surface and are 400 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 100 meters from the center. (Assume that the road is level.)
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