From the triangle above, we can find the length of the dotted line, 0, by pythagorean theorem.
This (1/2)2 + O2 = 12
=
(1/4) + O2 = 1
O = Sqrt(1-(1/4)) = sqrt(3/4) = sqrt(3)/2
The new angle at the top of the triangle can also be found, since all angles add up to 180, we get:
60 + y + 90 = 180
and so y=30 , exactly half of 60.
in degrees this is 30*(pi/180) = Pi/6
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