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Floor Fulfilment (Posted on 2014-12-17) Difficulty: 3 of 5
Given that

    Σm = 1 to 44 cos mo
y = ---------------
    Σm = 1 to 44 sin mo

Find the value of floor(100y)

No Solution Yet Submitted by K Sengupta    
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Solution computer evaluation | Comment 1 of 2
 pi = Atn(1) * 4
 dr = pi / 180#
 num = 0: den = 0
 For m = 1 To 44
   num = num + Cos(m * dr)
 Next
 For m = 1 To 44
   den = den + Sin(m * dr)
 Next
 Text1.Text = Text1.Text & num / den & crlf
 
 finds y ~= 2.41421356237309, which happens to be 1 + sqrt(2).
 
 So floor(100*y) = 241.
 
 

  Posted by Charlie on 2014-12-17 13:44:55
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