### BARS::14 Mileages on One Sign on Parker Dam Road in California

This road sign is on Parker Dam Road across the Colorado River from Parker, Arizona, in California.

```   +---------------------------------------------------+
|   ---------------------------------------------   |
| River Shore    4 1/2   |  Big Bend         12     |
| River Land     5       |  Californian      12 1/2 |
| Emerald Cove   6 1/2   |  River Lodge      14     |
| Rio            7       |  River Lodge Too  14 1/2 |
| Rite Sport     8       |  Sunshine Resort  14 3/4 |
| Windmill Park  8 1/2   |  Black Meadow     25     |
| Echo Lodge     11      |  Havasu Palms     29     |
+---------------------------------------------------+
```

RoadHacker first found this sign during December of 2006 and a BARS was created. As a result of finding the sign a second time, 2006 BARS was updated to include a `rsAgeEval=48` and a `rs42Eval`.

RoadHacker photographed the sign a 2nd time on 27 May 2008. This BARS was created containing the following road sign evaluations: `rsAgeEval=50`, `rsPiEval` and `rsPhiEval`.

```   the numbers are:   4.5, 5, 6.5, 7, 8, 8.5, 11, 12,
12.5, 14, 14.5, 14.75, 25, 29

River Lodge Too?

A = ((11 - 8) * (29 - 25)) / (14.75 - 14.5) = 48
B = (12.5 - 8.5) - (6.5 - 4.5) + (7 - 5) - (14 - 12) = 2

rsAgeEval:  A + B = 50
* RoadHacker took this picture on his last day being 50 years young.

A = (6.5 - 4.5) * ((12.5 - 8.5) * (14.75 - 14.5)) = 2
B = 12 + 8 - 14 + sqrt(29 + 7) - sqrt(5 * sqrt(25)) = 7

rsPiEval:  (A * 11) / B = 22 / 7 = Pi (3.14)
* 22/7 approximates Pi (3.14) rounded to nearest hundredth

C = sqrt(29 + 7) / (14 - 11)! = 1
D = sqrt(sqrt(12 + 8 + sqrt(sqrt(25) * 5))) = sqrt(5)

rsPhiEval:  (C + D) / A = (1 + sqrt(5)) / 2 = Phi (1.16803399)
* Phi is the golden ratio and it approximates 1.61803399
```
##### Updated::2009.05.01

The following math was discovered on 1 May 2009 after this BARS was selected as one of the BARS of the Week for Week #15 of the spring 2009 semester.

```   the numbers are:   4.5, 5, 6.5, 7, 8, 8.5, 11, 12,
12.5, 14, 14.5, 14.75, 25, 29

A = 4.75 - 14.5) = 1/4
B = 6.5 - 4.5 = 2
C = 12.5 - 8.5 = 4

the numbers become:  5  7  8  11  12  14  25  29  1/4  2  4

rsAgeEval:  (7 - 5)*(11 - 8)*(14 - 12)*(29 - 25) + 2 + 4 * 1/4 = 51
* MathBabbler was 51 years young when he found this equation
```

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 02 June 2008