Physics · MOTION IN A PLANE

In the velocity diagram shown for a rain-wind situation, rain falls vertically with speed \( v_r = 35\text{ m/s} \) and wind blows horizontally from east to west with speed \( v_w = 12\text{ m/s} \). What is the exact value of \( \tan\theta \), where \( \theta \) is the angle made with the vertical direction at which an umbrella must be held?

1. A
   \( \frac{35}{12} \)
2. B
   \( \frac{12}{37} \)
3. C
   \( \frac{35}{37} \)
4. D
   \( \frac{12}{35} \)