The Benzene Prism from the IPhOO

A right-triangulated prism made of benzene sits on a table. The hypotenuse makes an angle of \( 30^\circ \) with the horizontal table. An incoming ray of light hits the hypotenuse horizontally, and leaves the prism from the vertical leg at an acute angle of \( \gamma \) with respect to the vertical leg. Find \( \gamma \), in degrees, to the nearest integer. The index of refraction of benzene is \( 1.50 \).

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