Physics question, im having trouble with this one

Question

carl is sitting in his boat observing a fish swimming below the surface of the water. he guesses the fish is at a depth of 2m, and estimates his eyes are 1m above the surface, and are looking at an angle of 45 degrees. how do you calculate the depth of the fish?

Answer 1

my guess is that you will need to know the refractive index of water. i don't actually know what it is though...

Answer 2

This is a poorly worded question. Too many guesses and estimates. But to help you you will need to know that when the path from eyes to fish enters the water the angle is less than 45° - in fact since the refractive index for water is 1.333 it can be calculated to be 32.1° from the normal.

n = sin θa /sin θw

where n=1.333

θa=45°

θw=angle between normal and fish in water

The rest I will leave up to you.

Answer 3

You must make a drawing to get a clear description of the situation.

Then you look in a book and find the optical deviation for light going from air to water. The direction of the light changes in the surface of water. It is deviated so that it get nearer the perpendicular in the water.

You will find that the fish is deeper than the eyes will find out.

Answer 4

try trigonometry

Answer 5

you are already saying the answers