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 will use the Pythagorean theorem and the information given in the question.

### Step 1: Understand the initial setup
We have a ladder of length 5 m leaning against a wall, reaching a height of 4 m. We can denote:
- Point A: the top of the ladder touching the wall (height = 4 m)
- Point B: the foot of the ladder on the ground
- Point C: the point on the ground directly below point A (the wall)

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