# Calculating inductance and resistance of a coil from current and voltage

I have the following question:

What I've done so far:

1. drew a vector diagram with the known voltages:
2. used the vector diagram to come up with 2 equations using pythagoras and used them to solve for BC and CD
3. calculated coil impedance from 180 V and 2.4 A and used that as the "resistance" part
4. calculated XL using the value I calculated for CD
5. calculated the phase difference using sin (VL/180), where VL is CD

My final answers are BC = 38.3 V; CD = 175.88 V; "R" = 75 ohm; XL = 73.28 ohm; phase difference = 77.72 deg. My 2 equations for BC and CD:

I'm pretty sure I went wrong somewhere but I can't figure out exactly where I went wrong. I THINK its in the calculation of CD, I can't remember where I got the 125 from. Any help would be appreciated!

Vtotal = $\sqrt{V_R^2+V_L^2}$ = $\sqrt{90^2+180^2}$ = 201.2 volts