You’re standing in waist-deep water with your eyes 0.52 m m above the surface. a fish is swimming 0.65 m below the surface. your line of sight to the fish makes a 45 ∘ angle with the water’s surface. part a how far (horizontally) from you is the fish?

Required horizontal distance is 0.9279 meters

Explanation:

The situation is represented in the attached figure

The horizontal distance can be seen to be equal to

In the upper triangle we have

Now the angle can be calculated using Snell's law

By snell's Law we have

Since light comes from air thus

Light enter's the water thus we have

Applying values we calculate as

Now in the attached figure we have

Solving for we get

thus the required horizontal distance is  

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