A person standing on a road has to hold his umbrella at `60^(0)` with the verticcal to keep the rain away. He throws the umbrella an starts running at `20 ms^(-1)`. He finds that rain drops are hitting his head vertically. Find the speed of the rain drops wigh respect to (a) the road (b) the moving person.

Explanation

To solve the problem, we need to analyze the situation using vector components. The person initially holds the umbrella at an angle of \(60^\circ\) with the vertical to keep the rain away. After throwing the umbrella, he runs at a speed of \(20 \, \text{m/s}\) and observes that the rain is now falling vertically onto his head.

### Step 1: Understanding the initial condition
When the person holds the umbrella at \(60^\circ\) with the vertical, it means that the rain has a horizontal component of velocity that is equal to the horizontal component of the umbrella's angle.

### Step 2: Resolve the umbrella's angle into components
The angle \(60^\circ\) with the vertical means:
- The vertical component of the rain's velocity (\(V_{r,y}\)) can be found using trigonometric functions:
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