Finding the Angle of Incidence in a Plane Mirror: Reflection of Light Homework

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Homework Help Overview

The problem involves determining the angle of incidence for light reflecting off a plane mirror, with a specific setup including a person standing in front of the mirror and a flashlight being pointed at it. The context is within the subject area of optics.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants suggest drawing a diagram to visualize the problem and consider trigonometric relationships. There is discussion about using the tangent function to relate the heights and distances involved.

Discussion Status

Some participants have provided guidance on visualizing the problem through diagrams and suggested using trigonometry to find the angle. Multiple approaches to understanding the relationship between the angles and distances are being explored.

Contextual Notes

The original poster expresses uncertainty about which equations to use, indicating a potential gap in understanding the application of optics principles in this scenario.

TheHamburgler1
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Homework Statement



A person stands 3.6m in front of a wall that is covered floor to ceiling with a plane mirror. His eyes are 1.8m above the floor. He holds a flashlight between his feet and manages to point it at the mirror. At what angel of incidence must the light strike the mirror so the light will reach his eyes?


Homework Equations


angle of incidence=angle of reflection


The Attempt at a Solution



I don't know what equation to use to get the answer
 
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Try drawing a picture of the problem. Diagrams are your best friend in optics problems.
 
link2001 said:
Try drawing a picture of the problem. Diagrams are your best friend in optics problems.
Excellent advice, link2001!

Think trigonometry.
 
yep, use trigonomety, draw a triangle, put x as the angle to the normal, the normal length is infinite but draw it as 3.6, and the height from the feet of the person , so that makes theta= inverse of tan( 0.9 divided by 3.6), that should give the angle to the normal. :D
 

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