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**[SOLVED] Snells Law (Changing view of an object through different materials)**

## Homework Statement

A shallow glass dish is 4.0cm wide at the bottom, as shown in the attached figure. When at observer's eye is positioned as shown, the observer sees the edge of the bottom of the empty dish. When this dish is filled with water, the observer, with the eye positioned as before, sees the center of the bottom of the dish. Find the height of the dish.

Image:

img294.imageshack.us/img294/8576/prblmqp0.jpg

## Homework Equations

Snell's Law:

n1 * sin(theta1) = n2 * sin(theta2)

n(water) = 1.333

n(air) = 1.000

## The Attempt at a Solution

My attempt at the solution was futile. I can't seem to find a way to put the variable of height into Snell's law without being able to solve it. For example, I tried:

1.333(sin(arcsin(h/2)) = 1.000*(sin(arcsin(h/4))

But of course that would not work! How can I switch the variables up? Or am I trying to solve this the wrong way? Any help would be much appreciated.