# Calculate the actual depth of the trout

1. Jan 15, 2010

### Shaley

Sam is sitting in her fishing boat watching a trout swim below the surface. She guesses the apparent depth of the trout at 2.0m. She estimates that her eyes are about 1.0 m above the water's surface, and that the angle at which she's observing the trout is 45 degrees.

a) draw a diagram to show the ACTUAL depth of the trout and the path of light from the trout to Sam's eyes
b) Calculate the actual depth of the trout

MY WORK SO FAR:
ni=1.33 for water (the "i" stands or incident)
nR=1.00 for air (to 3 significant digits) (the "r" stands for refracted)

sinangle1=[(nR)(sinangleR)] divided by ni
=(1.00)(.707) divided by 1.33
=0.534
anglei=32.3degrees

2. Jan 15, 2010

### denverdoc

Can you do what the question asks and draw a diagram of the light rays striking the fishermans eyes? What happens at the surface?

Is it bent towards or away from the fisherman? If you know that, it becomes a problem in geometry.

3. Jan 15, 2010

### Shaley

sorry, I still don't understand.please explain more.

4. Jan 15, 2010

### Phrak

I would guess that the rays of light striking the fisherman's eyes are bent toward the fisherman's eyes.

5. Jan 16, 2010

### denverdoc

Hee, hee poorly worded.

Words are way too often a lousy substitute for math and a diagram. So correct that which should read whether the rays reflected from the fish were directed above or below his eyes before hitting the surface.