Rain is falling vertically with a speed of ` 30 ms^(-1)` . A woman rides a bicycle with a speed of ` 10 ms^(-1)` in the North to South direction. What is the direction in which she should hold her umbrella ?

Explanation

To solve the problem, we need to determine the direction in which the woman should hold her umbrella while riding her bicycle in the rain. Here’s a step-by-step breakdown of the solution:

### Step 1: Understand the velocities involved
- The rain is falling vertically downwards with a speed of \( 30 \, \text{m/s} \).
- The woman is riding her bicycle from North to South with a speed of \( 10 \, \text{m/s} \).

### Step 2: Define the coordinate system
- Let the downward direction (rain) be along the negative y-axis.
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