A man is walking at the rate of 6.5 km/hr towards the foot of a tower 120m high. At what rate is he approaching the top of the tower when he is 5m away from the tower?

Explanation

To solve the problem step by step, we will use the concepts of related rates and the Pythagorean theorem.

### Step 1: Understand the Scenario
We have a tower that is 120 meters high and a man walking towards the foot of the tower at a speed of 6.5 km/hr. We need to find the rate at which he is approaching the top of the tower when he is 5 meters away from the tower.

### Step 2: Set Up the Right Triangle
Let:
- \( x \) be the horizontal distance from the man to the foot of the tower (in meters).
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