Think of the real and imaginary components shown graphically on the complex plane. X is the real axis and Y the imaginary one. Now plot the vector from the origin to (5, 3). This vector nicely shows the complex impedance. It's magnitude is the impedance magnitude, and it's angle from 0 it the impedance phase angle.

No you should be able to see how the answer above was arrived. Draw it on a piece of paper if that helps. Then please come back and show us how you the answer was derived. By the way, I just did the calculations and agree that the answer you give is correct other than being expressed with excessive precision.

Think of the real and imaginary components shown graphically on the complex plane. X is the real axis and Y the imaginary one. Now plot the vector from the origin to (5, 3). This vector nicely shows the complex impedance. Its magnitude is the impedance magnitude, and its angle from 0 is the impedance phase angle.

Now you should be able to see how the answer above was arrived at. Draw it on a piece of paper if that helps. Then please come back and show us how the answer was derived. By the way, I just did the calculations and agree that the answer you give is correct other than being expressed with excessive precision.