## Related questions with answers

* Suspension Bridge* Each cable of the Golden Gate Bridge is suspended (in the shape of a parabola) between two towers that are $1280$ meters apart. The top of each tower is $152$ meters above the roadway. The cables touch the roadway midway between the towers.

Complete the table by finding the height $y$ of the suspension cables over the roadway at a distance of $x$ meters from the center of the bridge.

Solution

VerifiedGiven: Two towers Distance between towers is 1280 m Towers are 152 m high Cable connecting top of towers touches the road in the middle between the towers.

We need to determine an equation that models the cable nd use it to complete the given table.

Note that the cable has the shape of a parabola and thus we need to determine the equation of the corresponding parabola.

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