Vector Speed Problem: Truck & Wind Speed

[bigk2331]

Homework Statement

A truck is moving north at a speed of 70 km/h. The exhaust pipe above the truck cab sends out a trail of smoke that makes an angle of 20 degrees east of south behind the truck. If the wind is blowing directly toward the east, what is the wind speed at that location?

Homework Equations

The Attempt at a Solution

 

[tiny-tim]

Welcome to PF!

Hi bigk2331! Welcome to PF!

(Velocities are vectors, and so obey the law of vector addition, so …)

Draw a vector triangle …

what do you get? ​

 

[drizzle]

hello bigk2331, welcome to the PF


what do you think the velocity of the smoke [despite the wind effect] and its direction?
try to sketch the direction of the velocities mentioned in the problem, this is just a simple vector addition [put in mind the angle, so you can get the value needed]