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 8.00 m from her. Required:
What is the depth of the water at this point?

The  depth of water at the point is  

Explanation:

From the question we are told that

   The height of the person above water   is  

   The distance  of the coin as seen by the person  is

Generally the apparent depth is mathematically represented as

Here is the actual depth of water while  n is the refractive index of water with a constant value

Now from the point the person is the apparent depth is evaluated as

=>  

=>  

So

=>  

=>  

the correct choice is a .

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