A man 180 cm tall walks at a rate of 2m/sec. away, from a source of light that is 9 m above the ground. How fast is the length of his shadow increasing when he is 3 m away from the base of light?

Explanation

To solve the problem step by step, we will use the concept of similar triangles and related rates.

### Step 1: Understand the problem
We have a man who is 180 cm tall (which is 1.8 m) walking away from a light source that is 9 m above the ground at a speed of 2 m/s. We need to find out how fast the length of his shadow is increasing when he is 3 m away from the base of the light.

### Step 2: Set up the variables
Let:
- \( h = 9 \) m (height of the light source)
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