Geometrical optics #3

In the following diagram find the distance d if a=4.0 mm, Θ=30°

n_asinΘ_a=n_bsinΘ_b: snells law
a^2+b^2=c^2: pythagorean theorem

I think I got the angle to the problem correct. I am not sure if this is correct. Is this correct Θ_b=sin^-1(1sin30/1.52)?

Attached Images
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File Type: jpg 20140412_170156.jpg (61.1 KB)

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