How Far is it From Your Eyes to the Image of Your Toes in a Mirror?

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SUMMARY

The problem involves calculating the distance from the eyes to the image of the toes in a mirror setup. Given that the distance from the eyes to the toes is 171 cm and the distance from the observer to the mirror is 210 cm, the total distance to the image of the toes is 433 cm. This is derived from the principle that the image appears the same distance behind the mirror as the object is in front of it. Understanding the angles of incidence and reflection is crucial for grasping the underlying physics of the problem.

PREREQUISITES
  • Basic understanding of geometry and distances
  • Familiarity with the laws of reflection
  • Knowledge of angles of incidence and reflection
  • Ability to visualize geometric relationships in a mirror setup
NEXT STEPS
  • Study the laws of reflection in detail
  • Explore geometric optics and image formation
  • Learn how to apply trigonometry in mirror problems
  • Practice similar problems involving mirrors and distances
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Students studying physics, particularly those focusing on optics, as well as educators looking for practical examples of reflection and image formation in mirrors.

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Homework Statement



It is 171 cm from your eyes to your toes. You're standing 210 cm in front of a tall mirror.

How far is it from your eyes to the image of your toes?

Homework Equations



?

The Attempt at a Solution



The answer which I got from the back of the book is 433cm.

I have the answer. Whoopie. But I have no idea how to do get the answer on my own. I know that light will hit the mirror and bounce off at an angle.
The angle of incidence is the angle between the incoming light and the normal.
The angle of reflection is the angle between the reflected ray of light and the normal.
If some one could please explain to me how to go about this problem I would greatly appreciate it.
Thanks :smile:
 
Last edited:
Physics news on Phys.org
your toes are 210 cm in front of the mirror. The image of your toes is 210 cm behind the mirror. (draw a picture)
 

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