Solving Rainfall Velocity Problem with Vector Diagrams | 65 Chars

[AlchemistK]

Homework Statement

Rain is falling down with a velocity of 1m/s , perpendicular to the ground. A man runs with an umbrella with a velocity of 5 m/s.
Find the angle at which the umbrella must be held to ensure that the man remains dry.


I think i have solved this problem using the following diagram which i made.
the resultant vector is $$\sqrt{}26$$ m/s and $$\theta$$ is approximately equal to 11.5^o.

Could someone tell me if my answer is correct?


Thank you.

 

[vela]

Yes, it's correct, though I found the angle to be θ=11.3 degrees.