A man is standing at distance x from a plane mirror in front of him. He wants to see the entire wall in mirror which is at distance. y behind the man. Find the minimum size of the mirror required.

Explanation

To find the minimum size of the mirror required for the man to see the entire wall behind him, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Setup**:
- A man is standing at a distance \( x \) from a plane mirror.
- The wall is at a distance \( y \) behind the man.
- We need to find the minimum height \( L \) of the mirror required for the man to see the entire wall.
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