Calc Angle of Refraction in Opaque Drinking Glass Problem

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SUMMARY

The discussion focuses on calculating the angle of refraction for an observer looking into a cylindrical opaque drinking glass with a diameter of 4.7 cm and filled with a liquid that has an index of refraction of 1.29. The observer's eye is positioned at the rim of the glass, allowing them to see the edge of the bottom when empty and the center when full. The application of Snell's Law is suggested as the method to determine the angle of refraction, although participants express uncertainty about how to derive the necessary angles from the given information.

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A cylindrical opaque drinking glass has a diameter of 4.7 cm and a hieght h. An observer's eye is placed to where they are just barely looking over the rim of the glass. When the glass is empty, the observer can just barely see the edge of the bottom of the glass. When the glass is filled to be brim, the observer can just barely see the center of the bottom of the glass. The liquid in the glass has an index of refraction of 1.29. Calculate the angle at which the observer is looking into the glass.

I could use Snell's law if I could figure out one of the angles in the equation. I am not sure on how to start this problem. Does anyone have an idea on how to obtain one of the angles from the information given. I know it has to be something simple that I am not thinking of.
 
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I would like to know if anyone has found a way to solve this.

Please help.

-U
 

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