A 5 m long ladder is placed leaning towards a vertical wall such that it reaches the wall such that it reaches the wall at a point 4 m high. If the foot of the ladder is moved 1.6 m towards the wall, then find the distance by which the top of the ladder would slide upwards on teh wall.

Explanation

To solve the problem step by step, we can use the Pythagorean theorem, which relates the lengths of the sides of a right triangle. In this case, the ladder, the wall, and the ground form a right triangle.

### Step-by-Step Solution:

1. **Identify the initial position of the ladder:**
- The length of the ladder (hypotenuse) = 5 m
- The height at which the ladder touches the wall (one side of the triangle) = 4 m
- Let the distance from the wall to the foot of the ladder (the other side of the triangle) be \( x \).
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