If your 4ft from the mirror;the mirror is 15ft.from the wall and your eyes are 6ft from the floor,what is the height of the wall?
To find the height of the wall, we can use the concept of similar triangles. The distance from the mirror to the wall and the distance from the mirror to your eyes form a right triangle, and the distance from your eyes to the floor forms another right triangle.
Let's define the variables:
- Distance from mirror to wall: x (unknown)
- Distance from mirror to eyes: 4 ft
- Distance from eyes to floor: 6 ft
Now we can set up the proportions using the similar triangles:
x/4 = (x + 15)/6
To solve this equation, we can cross-multiply:
6x = 4(x + 15)
6x = 4x + 60
2x = 60
x = 30
Therefore, the height of the wall is 30 feet.