Apply Snell's law:
n1 sin a1 = n2 sin a2
Where
n = index of refraction
a = angle
Index of refraction of polyestyrene: 1.55
Replacing:
1 sin 60.46 = 1.55 sin a
arc sin [(1 sin 60.46)/1.55 ]=a
a = 34.14°
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