Some more angles and refraction a little twist this time

AI Thread Summary
An underwater diver observes the sun at an angle of 50 degrees above the horizontal. To determine how high the sun appears to a fisherman in a boat above the diver, the relevant refraction formula is applied. The diver calculates the complementary angle as 40 degrees and uses the formula n1sinθ1 = n2sinθ2, resulting in an incorrect value for x. A correction is suggested, indicating that the calculated angle represents the angle of incidence, which should be adjusted to find the correct angle of refraction. The discussion emphasizes the importance of accurately interpreting angles in refraction problems.
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Homework Statement



An underwater diver sees the sun 50 degrees above horizontal.

How high is the sun above the horizon to a fisherman in a boat above the diver?

Homework Equations



n΄sinθ΄ = n¹sinθ¹

or, if that is confusing,

n1sinθ1 = n2sinθ2


The Attempt at a Solution



I visualized it like this:

http://photo.ringo.com/232/232646988O877654972.jpg

http://photo.ringo.com/232/232646988O877654972.jpg

and using that, found the other angle (θ2, 'opposite' to x) as 90-50 = 40

so using the formula, i got this:

(1)sin(x) = 1.33 sin (40),
x =58.7485

computer says this is incorrect, any help? thanks
 
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You didn't get x... You got the angle of incidence which is 90-x.
 
Thanks!
 
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