Calculating Relative Velocity: Plane and Wind Speeds | Homework Help

[Faint]

Homework Statement

An airplane is heading due south at a speed of 620 km/h. If a wind begins blowing from the southwest at a speed of 80 km/h (average), calculate the following.

(a) the velocity (magnitude and direction) of the plane relative to the ground
(566.27) km/h (5.733)° (east of south)--- I got this one

(b) how far from its intended position will it be after 10 min if the pilot takes no corrective action. [Hint: First draw a diagram.]

Homework Equations

a²+b² = c²

The Attempt at a Solution

I have gotten the answers to part A, but I am struggling on how to set up part B. I have tried doing (600/60)*10 to get 100 km/10 min, then subtracting it by the actual amount traveled. So what I have done is basically ((600/60)*10)-((566.27/60)*10)=94.378, but this is wrong.

Please help.

 

[Faint]

I solved this. It is ((80/60) * 10) = 13.3333. This is the amount the wind throws the plane off.