A man is moving away from a tower 41.6 m high at the rate of 2 m/sec. Find the rate at which the angle of elevation of the top of tower is changing, when he is at a distance of 30m from the foot of the tower. Assume that the eye level of the man is 1.6m from the ground.

Explanation

To solve the problem step by step, we will analyze the situation involving the tower and the man moving away from it.

### Step 1: Understand the Problem
We have a tower of height 41.6 m and a man whose eye level is 1.6 m from the ground. The man is moving away from the tower at a speed of 2 m/s. We need to find the rate at which the angle of elevation to the top of the tower is changing when the man is 30 m away from the base of the tower.

### Step 2: Set Up the Diagram
Let:
- \( AD \) be the height of the tower (41.6 m).
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