What is the Relative Velocity of Wind for a Cyclist Traveling at 20 km/h?

[thereddevils]

Homework Statement

A wind is blowing at 25 km/h from the direction of 270 degrees . Find the magnitude and direction of the velocity of the wind relative to a cyclist traveling at 20 km/h in the direction of 120 degrees .

Homework Equations

The Attempt at a Solution

Using the cosine rule , i found the relative velocity to be 12.6 km/h . And the direction is N 37.47 degree .

Am i correct ?

 

[tiny-tim]

Hi thereddevils!

(it would help if you showed your full calculations)

Using the cosine rule , i found the relative velocity to be 12.6 km/h . And the direction is N 37.47 degree .

Am i correct ?

Yes.