To find the height of the window, we can use similar triangles formed by Sam, the mirror, and the building.
Step 1: Identify the lengths and distances given in the problem:
- Base of the mirror (distance from Sam's feet): 1.22 meters
- Distance from the base of the mirror to the base of the building: 7.32 meters
- Height of Sam's eye from the ground: 1.82 meters
Step 2: Draw a diagram to visualize the situation:
```
_________________________
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|_________________________|
^ Sam's eye
Reflecti |_________________________
on of | |
Sam | |
__| |
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|_________________________|
Base of the mirror
(Sam's feet)
```
Step 3: Determine the ratios of the corresponding sides of the similar triangles:
The ratio of corresponding sides in the triangles formed by Sam's eye, the top of the window, and the top of the mirror will be the same as the ratio of their corresponding sides in the triangles formed by Sam, the mirror, and the building.
The corresponding sides we will use are:
1. Height of the building window (let's call it "h")
2. Height of the mirror (1.22 meters)
3. Height from Sam's eye to the top of the mirror (1.82 meters)
So, we have the ratio: (h/1.22) = (1.82/1.22)
Step 4: Solve for "h":
To find the height of the building window ("h"), we can cross-multiply and solve for "h":
h = (1.82/1.22) * 1.22
h = 1.82 meters
Therefore, the height of the window on the building is 1.82 meters.