Electrical RL circuit problem
You wrote:


  Irms= Urms/R


This is only true for a purely resistive load, where you have a resistor-inductor series load.

For the general case, you should be using

$$I_{rms}=\frac{U_{rms}}{Z}.$$

But you in fact already implicitly used this equation to find \$Z\$, so it's not going to give you any extra information than you already have.

But, since you already have \$Z\$, you do have what you need to find \$R\$ and \$X_L\$ very easily, since

$$Z=R+jX_L$$

Now what you need to work out is how to get this cartesian form of \$Z\$ from the polar form you have (\$Z=22.98\angle 60^\circ\$).