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

AI Thread Summary
To determine the distance from your eyes to the image of your toes in a mirror, consider that the distance from your eyes to your toes is 171 cm, and you are standing 210 cm in front of the mirror. The image of your toes appears 210 cm behind the mirror. Therefore, the total distance from your eyes to the image of your toes is the sum of these distances, resulting in 433 cm. Understanding the angles of incidence and reflection can aid in visualizing the light path, but the key calculation involves straightforward addition of the distances.
mtbgymnast
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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



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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:
 
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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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