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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

1093.0. "Expanding railroad track" by PSYCHE::ROOS () Fri Jun 30 1989 18:15



          A one mile long section of a train track expands one foot
           on a hot day.   The resulting piece of the track is now 
            the arc of a circle.  At it's highest point, how high
             above the original track is the new expanded track?



                      Give answer to the nearest foot.
T.RTitleUserPersonal
Name		DateLines
1093.1ALLVAX::ROTHIf you plant ice you'll harvest windFri Jun 30 1989 18:315
1093.2Slide rule if you wish. But....PSYCHE::ROOSFri Jun 30 1989 18:484
    
    OK.   Set up the solution.   If necessary write a computer program
          to solve it from there.
1093.344DEC25::ROBERTSReason, Purpose, Self-esteemFri Jun 30 1989 21:436
    To the nearest foot, I find the answer to be 44. However, the answer
    MAPLE gives me is 44.498 so only a slight inaccuracy might push the
    answer to 45. 
    
    					/Dwayne
1093.4Same Answer - 44 feet.PSYCHE::ROOSWed Jul 05 1989 16:236
    
       That is the same answer I got.   44.4922 feet.
    
       The accuracy depends on what your calculating device does with
       solving for the solution to 2640.5(sin X) = 2640(X).
1093.5ALLVAX::ROTHIf you plant ice you'll harvest windThu Jul 06 1989 11:0750