What is the Distance d in Snell's Law and the Pythagorean Theorem?

[h20proof]

In the following diagram find the distance d if a=4.0 mm, Θ=30°

n_asinΘ_a=n_bsinΘ_b: snells law
a^2+b^2=c^2: pythagorean theorem

I think I got the angle to the problem correct. I am not sure if this is correct. Is this correct Θ_b=sin^-1(1sin30/1.52)?

 

[NascentOxygen]

That will give you the internal angle.

You are apparently required to find the offset distance, d, of the emergent ray.

 

[h20proof]

thank you. How do you find it?

 

[NascentOxygen]

thank you. How do you find it?

Using geometry. Specifically, the geometry of right-angled triangles.

You start by drawing a large clear diagram, and using a straight-edge to make all your straight lines look straight. Any lines you draw can be made into a side of a right-angled triangle.

 

[h20proof]

okay, I still don't see it.

 

[NascentOxygen]

okay, I still don't see it.

Where's your diagram?