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## Homework Statement

Archimedes left his gold crown lying on the bottom of his partially filled bathtub. Although he did not know Snell's Law in fact he thought it was Smell's Law (they don't bathe very often back then), or even that the refractive index of dirty bath water was 1.35, he did note that light appeared to bend as it entered the water. As he peers into the water at 35° above the water's edge he sees the crown one meter away from the edge of the tub. His tub is one meter high. Given the information provided, determine the depth on the King's bath water.

## Homework Equations

Snell's law- n1 sin θ1= n2 sin θ2

## The Attempt at a Solution

I found the angle of incidence which was 37.37 but I dont know how to incorporate the apparent location of the crown and the height of the bathtub into this problem. Plz help. ty.