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Solid Angle Question

  1. Jan 23, 2008 #1
    1. The problem statement, all variables and given/known data

    How many inches from your face would you have to hold a dime in order for it to appear the exact same size as the Moon? Use a distance to the Moon of 384,400 km and a radius of the Moon of 1738 km. The diameter of a dime is 17.1 mm. (Hint: Find at what distance a dime has the same solid angle as the Moon).

    2. Relevant equations

    dω = sin θ dθ dφ

    3. The attempt at a solution

    This is for my Physics of Meteorology class. I am trying to find the solid angle of the moon as seen from Earth first, and then will attempt the rest. I have thus far, ω=[tex]\int\int[/tex]sin θ dθ dφ, where the first integral goes from 0 to 2pi and the second from 0 to θ, but I'm lost as to how to solve it.

    Anthony
     
  2. jcsd
  3. Jan 24, 2008 #2

    malawi_glenn

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