How Does Refraction Help Calculate the Depth of a Pool?

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Refraction plays a crucial role in calculating the depth of a pool by altering the perceived position of objects underwater. To solve the problem, a cross-section drawing of the pool can be helpful, illustrating the path of light rays from the bottom edge to the surface. By applying Snell's Law and the given angle of refraction, the depth can be determined using trigonometric relationships. The width of the pool and the angle of observation are key factors in this calculation. Understanding these concepts allows for accurate depth estimation based on refraction principles.
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Homework Statement



The bottom edge of the opposite side of an in-ground pool (n=1.33) is just visible at an angle of 18 degrees above the horizon. If the pool is 2m wide what is the depth?


I think I'm stuck on trying to relate the refraction formulas as to determining depth. .. any tips or help?
 
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Make a cross-section drawing (of the pool and air above it) with a ray going from the bottom edge of the pool on one side, to the top edge of the pool on the other side. From there, draw the refracted ray. Can you now see how to find the depth from the angle and distance given?
 

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