You are 1.7m tall and your eyes are 8cm from the top of your head. How tall must a vertical plane mirror be to see your entire length? Also how far from the ground is the top of the mirror?
Have you considered drawing a figure with a mirror, then drawing ray diagrams? On ray from the foot to the mirror to eye, and one ray from top of head to mirror to eye. Then use geometry to figure the height of the mirror.
To determine the height of the vertical plane mirror needed to see your entire length, you need to add your height to the distance between your eyes and the top of your head.
Given:
- Your height: 1.7m
- Distance between your eyes and the top of your head: 8cm
To calculate the height of the mirror:
1. Convert the distance from centimeters to meters: 8cm = 0.08m
2. Add your height to the distance: 1.7m + 0.08m = 1.78m
Therefore, the vertical plane mirror should be at least 1.78 meters tall to see your entire length.
To determine the distance from the ground to the top of the mirror, you need to subtract your height from the total height of the mirror.
Given:
- Total height of the mirror: 1.78m
- Your height: 1.7m
To calculate the distance from the ground to the top of the mirror:
1. Subtract your height from the total height of the mirror: 1.78m - 1.7m = 0.08m
Therefore, the top of the mirror would be approximately 0.08 meters (or 8cm) from the ground.