Solve Snell's Law Problem: Determine θ

[haxxorboi]

Homework Statement

A fish is 30 cm below the surface of a lake.
If he looks up he can see the entire sky compressed in a cone of angle θ, because of refraction of light at the water surface. (θ is the angle between the cone axis and the cone surface.) Determine θ.

Homework Equations

n1*sin(theta 1)=n2*sin(theta 2)
n1=1
n2=1.33
theta 1=90
theta 2=?

The Attempt at a Solution

sin(90)/1.33=sin(theta 2)
sin^-1(0.672177943)=42.24 degrees


This doesn't seem to be the answer though...

Any help?

 

[jcvince17]

i do it i get:

1sin90 = 1.33sin(theta 2)
1 = 1.33sin(theta 2)
1/1.33 = sin(theta 2)
.7518796992 = sin(theta 2)
sin-1(.7518796992) = 48.75 degrees

 

[haxxorboi]

Man, what the heck was I doing? I did it again and I got the same answer as you, which is the correct answer...

I swear I just do things wrong 10 times in a row for no reason...

Thanks for the help!

 

[jcvince17]

no problem...i am the same way sometimes.

sometimes you just need a clear head to straighten it out.