Answer to Question #269231 in Optics for NICKO

Question #269231

A person is lying on a diving board 3.00 m above the surface of the water in a swimming pool. She looks at a penny that is on the bottom of the pool directly below her. To her, the penny appears to be a distance of 7.00 m from her. What is the depth of the water at this point?



1
Expert's answer
2021-11-22T19:33:16-0500

Distance that is below water (as seen by diver) = 7.003.00=4.00m7.00-3.00=4.00m


Apparent depth = 4.0m


Apparentdepth=RealdepthRefractiveindexApparent depth = \frac {Real depth} {Refractive index}


So real depth = 4.0×1.33=5.324.0×1.33 = 5.32


So depth of water = 5.32m

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