I was responsible for making up my own question and providing the answer to the problem. I was just wondering if someone could check my work, I would go to my schools tutoring thing but they are closed over the weekend.
I believe I have all the right work just have some weird numbers.
The first to are in series so simplifies to 9ohms in series with the 200mj inductor
simulate this circuit – Schematic created using CircuitLab
I then want them to have them correct the power factor to .95, then calculate the new impedance angle of .95.
Let me know if you see any mistakes. I can't get it to stay upright to read, so if it doesn't work here is uploaded version of it:
https://i.sstatic.net/IdUeN.jpg
Believe the power factor is: 18.9+158.9j or 159<-83.2*
The to correct the power factor to .95 we need a 3.39uF capacitor.