Mirror Height for Self-Reflection at Distance D for H

In summary, the ideal height for a mirror for self-reflection is typically around eye level, and it should be placed at a distance of 3-4 feet for a clear and accurate reflection. The accuracy of the reflection can be affected by the distance between the mirror and the individual, and the height of the individual may also play a role in determining the ideal mirror height. While there is no specific formula, a good rule of thumb is to have the top of the mirror at eye level and the distance between the mirror and the individual to be around 3-4 feet.
  • #1
Edgar White
4
0
Hello,

I was wondering how to find the minimum height of a mirror so somebody of height H that is at a distance D of the mirror sees himself from head to toes.

Anybody can help me out ? Thanks !
 
Physics news on Phys.org
  • #2
Consider that the angle of line of sight from the eye to the mirror and back to the person would be divided between the distance to the mirror and the distance back to the reflected image.

Also note that the angle of reflection changes as the distance changes.
 
Last edited:
  • #3


I can offer some insight into this question. The height of the mirror needed for self-reflection at a distance D for a person of height H can be determined using basic principles of geometry and optics. The key is to consider the angle of reflection, which is equal to the angle of incidence. This means that the person's eye must be at a certain height in order to see their entire body reflected in the mirror at a distance of D. This height can be calculated using the following formula: mirror height = (person's height + distance to mirror) x tan(angle of incidence). By adjusting the angle of incidence and the distance to the mirror, you can find the minimum height of the mirror that will allow for full body reflection at a distance D. I hope this helps!
 

1. What is the ideal height for a mirror for self-reflection?

The ideal height for a mirror for self-reflection is typically around eye level. This allows for the most accurate reflection of the face and body.

2. How far should a mirror be placed for self-reflection?

The mirror should be placed at a distance that allows for a clear and accurate reflection. This distance may vary depending on the size of the mirror and the individual's height, but a general rule of thumb is around 3-4 feet away.

3. Can the distance between the mirror and the individual affect the accuracy of the reflection?

Yes, the distance between the mirror and the individual can affect the accuracy of the reflection. If the mirror is too close, it may distort the reflection, and if it is too far, the image may appear smaller or distorted.

4. Does the height of the individual affect the ideal mirror height?

Yes, the height of the individual can affect the ideal mirror height. Taller individuals may need the mirror to be placed slightly higher than eye level, while shorter individuals may need it to be slightly lower.

5. Is there a specific formula for calculating the ideal mirror height for self-reflection at a certain distance?

There is no specific formula for calculating the ideal mirror height for self-reflection at a certain distance. However, a good rule of thumb is to have the top of the mirror at eye level and the distance between the mirror and the individual to be around 3-4 feet.

Similar threads

  • Introductory Physics Homework Help
Replies
7
Views
803
  • Introductory Physics Homework Help
Replies
14
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
951
  • Introductory Physics Homework Help
Replies
2
Views
649
  • Introductory Physics Homework Help
Replies
3
Views
910
  • Introductory Physics Homework Help
Replies
2
Views
1K
  • Introductory Physics Homework Help
Replies
9
Views
825
  • Introductory Physics Homework Help
Replies
2
Views
776
  • Introductory Physics Homework Help
Replies
1
Views
2K
  • Introductory Physics Homework Help
2
Replies
40
Views
1K
Back
Top