A man standing on a road has to hold his umbrella at `30^0` with the veetical to keep the rain away. The throws the umbrella and starts running at 10 km/h. He finds tht raindrops are hitting his head vertically. Find the speed of raindrops with respect to a. the road, b. the moving man.

Explanation

To solve the problem, we need to analyze the situation step by step using the concepts of relative motion and vector components.

### Step 1: Understanding the Situation
A man is standing on the road and holds his umbrella at an angle of \(30^\circ\) with the vertical. This means that the rain is falling at an angle of \(30^\circ\) to the vertical when he is stationary. When he starts running at a speed of \(10 \text{ km/h}\), he observes that the rain is now hitting him vertically.

### Step 2: Setting Up the Components
1. **Velocity of Rain with respect to the Ground (V_rg)**:
- The rain has both vertical and horizontal components.
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