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A laser beam is incident on a 36-54-90 prism perpendicular to one of its faces, as shown in the figure below.

A laser beam is incident on a 36°-54°-90° prism perpendicular to one of its faces, as shown in the figure below. The transmitted beam that exits the hypotenuse of the prism makes an angle of 9° with the direction of the incident beam. Find the index of refraction of the prism. (Use the following variables as necessary: θ1 = 9°, θ2 = 36°)
n =

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