008 10.0 points A cylindrical cistern, constructed below ground level, is 2.8 m

Question

008 10.0 points A cylindrical cistern, constructed below ground level, is 2.8 m in diameter and 2 m deep and is filled to the brim with a liquid whose index of refraction is 1.6. A small object rests on the bottom of the cistern at its center. How far x from the edge of the cistern can a girl whose eyes are 1.3 m from the ground stand and still see the object? Answer in units of m

008 10.0 points A cylindrical cistern, constructed below ground level, is 2.8 m in diameter and 2 m deep and is filled to the brim with a liquid whose index of refraction is 1.6. A small object rests on the bottom of the cistern at its center. How far x from the edge of the cistern can a girl whose eyes are 1.3 m from the ground stand and still see the object? Answer in units of m

Explanation / Answer

Let r be the angle of refraction...
So, tan r = 1.4 / 2 = 0.7
so, r = 34.99 degree

So, by snells law,
1 sin i = 1.6 sin r
so, i = 66.569 degree...

Now, tan i = x / 1.3
So, x = 3.003 m

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