An alternating voltage and the corresponding current are given by $\mathrm{V}=110 \sin (\mathrm{\omega t}+\mathrm{\pi }/6)\mathrm{Volt}$ and $\mathrm{I}=5 \sin \left(\mathrm{\omega t}-\mathrm{\pi }/6\right)\mathrm{A}$ respectively. Find the impedance of the circuit and the average power dissipation in it.