Finding refractive index and critical angle when refraction angle is unknown

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dinhjeffrey
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Homework Statement



Scanned exam page with questions 54 to 58: a ray diagram of a 30-60-90 degree prism with labeled angles and points a, b, c, plus multiple-choice answer options.

#56

Homework Equations



index of refraction = sin(Θincident)/sin(Θrefraction)

The Attempt at a Solution


yeah i think Θincident is 30 degrees but i don't know how to solve for Θ of refraction. sorry, my teacher didnt teach me optics yet, and she assigned problems for hw...
 
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  • Scanned page of multiple-choice physics questions 54 to 58; question 56 shows a 30-60-90 degree glass prism with a light ray entering face ab perpendicular to it and striking face ac at the critical angle.
    54-58 001.jpg
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If you draw a normal on ac at the point of incidence, the angle of incidence is 60 degrees. If it is the critical angle C then refractive index μ = 1/sin(C).