Reflection and refraction of light

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Homework Help Overview

The problem involves the reflection and refraction of light as it pertains to aiming a spear at an underwater target. The scenario includes specific measurements of depth and angles, requiring an understanding of optics and geometry.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the use of Snell's law and the construction of a triangle to visualize the problem. There is an emphasis on drawing diagrams and showing work to clarify reasoning.

Discussion Status

Some participants have attempted calculations and shared their results, but there is uncertainty about the correctness of these attempts. Guidance has been offered to illustrate the problem visually, and there is an ongoing exploration of the correct approach.

Contextual Notes

Participants note the importance of visual representation and the need for clear communication of their thought processes. There is a suggestion to show work and diagrams to facilitate understanding.

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Homework Statement



One of the contests at the school carnival is to throw a spear at an underwater target lying flat on the bottom of a pool. The water is 0.900 m deep. You're standing on a small stool that places your eyes 3.20 m above the bottom of the pool. As you look at the target, your gaze is 30 degrees below horizontal. At what angle below horizontal should you throw the spear in order to hit the target?

Your raised arm brings the spear point to the level of your eyes as you throw it, and over this short distance you can assume that the spear travels in a straight line rather than a parabolic trajectory.

So, I really am not sure what to do with this problem. Any help with formulas and such would be greatly appreciated. Thanks a lot!
 
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Draw a picture. Use Snell's law to construct a triangle formed of the incident and refracted rays and your spear's path.
 
Just tried that. Not successful. I got an angle of 31 degrees, but that's not right. :(
 
Show your work. Preferably show your diagram, otherwise describe it verbally.
 

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