a-suspension-bridge-was-constructed-with-two-main-towers-that-are-15001500-meter

Question

A suspension bridge was constructed with two main towers that are $1500$ meters apart. The towers rise $180$ meters above the deck of the bridge. The cable supporting the deck between the towers forms a parabolic shape. By placing the origin at the midpoint of the bridge deck between the towers, find the quadratic equation that models the shape of the cable. Then, calculate the height of the cable above the deck at a point $600$ meters from the center of the bridge.

Accepted Answer

y=13125x2y=\frac{1}{3125}$$x^2115.2 m115.2$$~	ext{m}

Answer

y=13875x2y=\frac{1}{3875}$$x^292.9 m92.9$$~	ext{m}

Answer

y=13875x2y=\frac{1}{3875}$$x^288.3 m88.3$$~	ext{m}

Answer

y=13125x2y=\frac{1}{3125}$$x^2112.2 m112.2$$~	ext{m}