Optics question - coin at the bottom of a swimming pool

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The discussion focuses on calculating the apparent depth of a coin at the bottom of a swimming pool when viewed from different angles. For part a, the solution involves determining the apparent depth at near normal incidence. In part b, there's confusion regarding the need for theta2 to apply the formula dapp = tan(theta1) / tan(theta2) * d, where theta1 is given as 35.0 degrees. Participants suggest using Snell's law to find theta2, emphasizing its importance for accurate calculations. The conversation highlights the relationship between viewing angles and apparent depth in optics.
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Optics question -- coin at the bottom of a swimming pool



The apparent depth of a pool depends on the angle of viewing. Suppose that you place a coin at the bottom of a swimming pool filled with water (n = 1.33) to a depth of 2.16m.
Find the apparent depth of the coin below the surface when viewed. a) at near normal incidence nd b)By rays that leave the coin making an angle of 35.0 with the normal to the bottom of the pool.


I solved part a but for part b what I don't understand is don't we need to know theta2 aswell
like here we know that


dapp = tan(theta1) / tan(theta2) * d;

where d is 2.16 and theta 1 = 35.0 don't we need to know theta2 to solve this ?
 
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Can't you use Snell's law to calculate theta2?
 
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