A man of height 1.7 m walks at a uniform speed of 6.6 m/min from a lamp post which is 5m high.Find the rate at which the length of his shadow increases.

Explanation

To solve the problem step by step, we will analyze the situation using similar triangles and derivatives.

### Step 1: Understand the geometry of the problem
We have a lamp post of height 5 m and a man of height 1.7 m walking away from the lamp post. Let:
- \( X \) = distance of the man from the lamp post
- \( Y \) = length of the man's shadow

### Step 2: Set up the relationship using similar triangles
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