0.866
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Cos(30) = sqrt(3)/2
cos(30) = sqrt(3)/2 so cosine squared is 3/4.
one over the square root of 2 or 0.850903525
Cos(angle) = adjacent / hypotenuse. Cos(a) = a/h Substitute Cos(X) = 5/13 = 0.384615... A = Cos^*-1( 0.384615 .... A = 67.38013505... degrees.
cos 45o = 1/√2 = 1/2 x √2 ≈ 0.707