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Problem with Series

  1. Sep 19, 2009 #1
    1. The problem statement, all variables and given/known data
    If you are on top of a tower height, h, above the surface of the earth, show the distance you can see along the surface is s=[tex]\sqrt{2Rh}[/tex] where R=radius of earth.
    hint--show h/R= sec[tex]\Theta[/tex] - 1, find two terms of series sec[tex]\Theta[/tex]= 1/cos[tex]\Theta[/tex] and use s=R[tex]\Theta[/tex].

    2. Relevant equations

    The equations for the series of cos[tex]\Theta[/tex]. Also I am guessing some basic trig formulas.

    3. The attempt at a solution
    The real problem is I just can't get this started for some reason. If someone could give me a hint that lets me see how to get started and then I can get the solution myself then that would be great. Thanks.
  2. jcsd
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