Chapter 6.2, Problem 72E

(a)

To determine

To graph: The bridge shown below on a rectangular system with the cables touching the roadway at the origin and label the coordinates of the known points if each cable of the Golden Gate Bridge is suspended between two towers that are $1280\text{ meters}$ apart and the top of the each tower is $152\text{ meters}$ above the roadway.

(b)

To determine

To calculate: The equation that models the cables of a Golden Gate Bridge which is suspended between two towers.

(c)

To determine

To calculate: The complete table shown below by finding the height $y$ of the cables over the roadways at a distance of $x\text{ meters}$.

$\begin{array}{|cc|}\hline \text{distance }x& \text{height }y\\ 0& \\ 100& \\ 250& \\ 400& \\ 500& \\ \hline\end{array}$