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. \( \frac{35}{12} \)
2. \( \frac{12}{37} \)
3. \( \frac{35}{37} \)
4. \( \frac{12}{35} \)