# Addition of AC Voltage Polar Form

Question 5 Part A Only. I tried converting polar form to rectangular form to add the AC voltage sources and converting it back to polar form. I got the angle (10.09 degree) right but not the r-value and I still can't seem to find my mistake. (I use my calculator for polar to rectangular form conversion vise versa)

You correctly arrived at 33.33 volts but that is peak voltage. The RMS is 23.568 volts i.e. $$\\sqrt2\$$ lower.