hi just stuck on a small problem during my research on allaboutcircuits. com (VOL II AC series resistor-inductor circuits) when they write Z total (5 + j0Ω) + (0 + j3.7699Ω) why are they using j? and i presume the right angled triangle missing one of its sides means phase angle but when they write the answer for Ztotal (5 +j3.7699Ω) or (6.262Ω phase angle 37.016 degrees) how the <snip> did they get the angle of 37.016 degrees i cant understand how they came up with that angle

 

Are you familiar complex numbers ?
http://www.allaboutcircuits.com/vol_2/chpt_2/5.html
arctan(3.7699/5) = 37

 

http://www.nfos.org/degree/opt11/module_01d.html

What angle did you come up with? Is your calculator in degrees or radians?

Was your answer ... 0.646043?