Consider a single-phase load with an applied voltage \(v(t)=150 \cos (\omega t+\) \(\left.10^{\circ}ight)\) volts and load current \(i(t)=5 \cos \left(\omega t-50^{\circ}ight) \mathrm{A}\).

(a) Determine the power triangle.

(b) Find the power factor and specify whether it is lagging or leading.

(c) Calculate the reactive power supplied by capacitors in parallel with the load that correct the power factor to 0.9 lagging.