Rain is falling vertically with a speed of `20ms^(-1)`., A person is running in the rain with a velocity of `5 ms^(-1)` and a wind is also blowing with a speed of `15 ms^(-1)` (both from the west) The angle with the vertical at which the person should hold his umbrella so that he may not get drenched is:

Explanation

To solve the problem of how the person should hold their umbrella to avoid getting drenched in the rain, we can break it down into the following steps:

### Step-by-Step Solution:

1. **Identify the velocities**:
- The rain is falling vertically downwards with a velocity of \( V_r = 20 \, \text{m/s} \).
- The person is running horizontally with a velocity of \( V_p = 5 \, \text{m/s} \) (from the west).
- The wind is blowing horizontally with a velocity of \( V_w = 15 \, \text{m/s} \) (also from the west).
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