[" 12.A stationary man observes that the rain strikes him at an angle of "60^(@)],[" to the horizontal.When he begins to move with a velocity of "25m/sec" ,"],[" then the drops appear to strike him at an angle "30^(@)" from horizontal."],[" Calculate the velocity of the rain drops."],[" Ans."25m/sec" ."]

Explanation

To solve the problem step-by-step, we will analyze the situation involving the stationary observer and the moving observer in the context of the rain's velocity.

### Step 1: Understand the Given Information
- A stationary man observes rain striking him at an angle of \(60^\circ\) to the horizontal.
- When the man moves with a velocity of \(25 \, \text{m/s}\), the rain appears to strike him at an angle of \(30^\circ\) to the horizontal.

### Step 2: Set Up the Velocity Components
Let \(v_r\) be the velocity of the rain drops. We can break this velocity into horizontal and vertical components:
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