Using the Law of refraction, we know
n1 Sin θ1 = n2 Sin θ2
where, n1 = refrative index of air = 1
n2 = refrative index of glass = 1.56
θ1 = angle made by incident light to the normal before refraction.
θ2 = angle made by incident light to the normal after refraction.
Now putting the values:
1 * Sin (57o) = 1.56 * Sin θ2
0.4362 = 1.56 * Sin θ2
Sin θ2 = 0.4362 /1.56 =0.2796
θ2 = Sin⁻¹ 0.2796
= 16.24o
As we have to report the answer in 2 significant figures, so, 16o will be the answer.
hope this helps!
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