$-------------$We have a badly designed system as shown in the figure below where $V=120V,R_{\text{l}\text{i}\text{n}\text{e}}=0\mathrm{.}01,$ and $x_{\text{i}\text{n}\text{e}}=0\mathrm{.}1.$ The power factor of the inductive circuit is $P{F}_1=0\mathrm{.}707$lag which $P_{\text{l}\text{o}\text{a}\text{d}}=1000W,$ what is the loss across the line to deliver those power? If we want to improve the PF$2$ to $0\mathrm{.}866$ lag, what is the value of $(1)$ parallel connected capacitor? $(2)$ What is the loss across the line after compensation? $(3)$ What is the voltage at the load before and after compensation?

Please use $U_2^2=\frac{(U_1^2-2x{Q}_L)+-\sqrt[\phantom{2}]{(2x{Q}_L-U_1^2{)}^2-4(P_L^2{x}^2+x^2{Q}_L^2)}}{2}$ to estimate load voltage.