Some more angles and refraction a little twist this time

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SUMMARY

The discussion centers on a physics problem involving refraction as an underwater diver observes the sun at an angle of 50 degrees above the horizontal. The correct application of Snell's Law, specifically the equation n1sinθ1 = n2sinθ2, is crucial for determining the angle of incidence and refraction. The diver miscalculated the angle of refraction, mistakenly identifying it as x instead of correctly calculating it as 90 - x. The accurate calculation reveals that the angle of refraction is approximately 58.75 degrees, which is essential for understanding the sun's position relative to a fisherman in a boat above the diver.

PREREQUISITES
  • Understanding of Snell's Law in optics
  • Basic knowledge of angles and trigonometric functions
  • Familiarity with the concept of refraction in different media
  • Ability to visualize geometric relationships in physics problems
NEXT STEPS
  • Study the derivation and applications of Snell's Law in various contexts
  • Explore the concept of critical angles and total internal reflection
  • Learn about the behavior of light in different mediums, such as water and air
  • Practice solving problems involving refraction with varying indices of refraction
USEFUL FOR

Students studying physics, particularly those focusing on optics, as well as educators looking for practical examples of refraction and angle calculations in real-world scenarios.

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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
 
Last edited by a moderator:
Physics news on Phys.org
You didn't get x... You got the angle of incidence which is 90-x.
 
Thanks!
 

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