In a Suspension Bridge, the Shape of the Suspension Cables

question 218

Multiple Choice

In a suspension bridge, the shape of the suspension cables is parabolic.The bridge shown in the figure has towers that are 1000 m apart, and the lowest point of the suspension cables is 200 m below the top of the towers.Find the equation of the parabolic part of the cables, placing the origin of the coordinate system at the lowest point of the cable. ​
NOTE: This equation is used to find the length of the cable needed in the construction of the bridge.
​ ​

• A)x ² = 2,500y
• B)y ² = 5,000x
• C)x ² = 1,250y
• D)x ² = 5,000y
• E)x ² = -1,250y

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