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## Homework Statement

Find the index of refraction n of the rectangle using x, d, and θ.

http://img338.imageshack.us/img338/6079/snellslaw.jpg [Broken]

## Homework Equations

n1*sin(θ1)=n2*sin(θ2)

## The Attempt at a Solution

Is it possible to solve this problem given the relevant data? What I did was try to find θ2 in terms of x, d, and θ (now called θ1). What I came up with was:

[tex]cos(\theta_{2})=\frac{x*sin(\theta_{1}-\theta_{2})}{d}[/tex]

From the two right triangles that can be constructed:

http://img11.imageshack.us/img11/6606/snellslaw2.jpg [Broken]

But either this isn't right or I don't see a simple way to proceed from here. I used wolfram to solve the above equation for θ2, but the result seems too complicated to be the answer. Can someone help, anyone with a simpler approach? Perhaps n1*sin(θ1)=n2*sin(θ2) is useless in this case?

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