Use vectors to solve this problem.
Since we know the plane is heading due west
I will give the west a Negative number if you think of it on the coordinate axis. I give the west coordinates <-84,0>. It is heading only in the x direction and there is no y direction which is why y gets a value of 0.
Next let's look at the north value of the wind. There is no x direction in the north value so we give is a <0,y>
Use the distance formula. We know the net is 98 m/s
This will get you
Square both sides to get
Subtract 7056 from 9604 to get 2548. Ttake a square root of both sides and you get y = 50.47 m/s.