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The ends of an 80-foot cable are attached to the tops of two 50-foot pole.

The lowest point of the cable is 10 feet from the ground.

Find the distance between the poles.

Code:

```
L = 80
* *
| |
| |
|* *|
| |
50 | * * | 50
| * * |
| * * |
| * |
| : |
| :10 |
| : |
*--------+--------*
: - - - x - - - :
```

__a parabola.__

*not*It is a catenary, with the basic equation: .[tex]y \:=\:\frac{e^{ax} + e^{-ax}}{2}[/tex]

[There is a reason why this problem is not

. . listed under "Challenge Questions".]

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