BARS::Coconino County Road 3 Evaluates to 'e' and (61)

This road sign was found along Coconino County Road 3 in Arizona.

The sign says...

   +----------------------+
   | Stoneman Lk.Rd.    4 |
   | Mormon Lake       12 |
   | Flagstaff         40 |
   +----------------------+
   | 305 |
   | <-- |
   +-----+
   the numbers are:  4  12  40  305

   tan(305) = 0.271933

   now the numbers are:  0.271933  4  12  40

   0.271933 x (40 / sqrt(4 + 12))
   0.271933 x (40 / sqrt(16))
   0.271933 x (40 / 4)
   0.271933 x 10 = 2.71933

   2.71933 rounded to the nearest hundreth is 2.72
   2.71933 truncated to the hundreths is 2.71
   
   note:  e = 2.71828183
Almost Pi

This road sign almost equals Pi (3.14). The following is our first use of a trigonomic/hyperbolic function.

   arctan(305) x sqrt(40 - 12 - factorial(4))
   arctan(305) x sqrt(40 - 12 - 24)
   arctan(305) x sqrt(4)
   1.56751765  x 2 = 3.1350353

   3.135 rounded to nearest hundreth is 3.14
   3.135 truncated to the hundreths is 3.13

This road sign cannot be submitted to RoadSignMath.com as a Pi sign because the result must equal 3.14 when truncated to the hundreths.

RSeval: Road Sign Evaluation

This road sign, located along Coconino County Road 3 in Arizona, evaluates to 61.

   the numbers are... 4  12  40  305

   the math is... 
   
   305 / (40 / (12 - 4)) = 305 / (40 / 8) = 305 / 5 = 61

Note: The road sign used in this BAB was taken on the same roadtrip as the AZ Hwy-61 sign.

Updated::2009.05.11

This update did not result in the discovery of any new equations.


   the numbers are... 4  12  40  305

   observe... 
      sqrt(305 - 4 - 12) = sqrt(289) = 17
      sqrt(305 + 4! - 40) = sqrt(289) = 17

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 18 March 2006

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This work is licensed under a Creative Commons Attribution 3.0 United States License.