Ex$.330.$ Consider a unity feedback system with G$($s$)=$K $($s$+5)/($s$^2+4$s$+15).$ Find the angle of departure of the root locus from the complex pole containing the positive imaginary part. Find the entry point for the root locus as it enters the real axis. Angle range is $-$pi to $+$pi with negative angles measured clockwise from the positive real axis. Sketch the root locus accurately. Answers: theta $($radians$),$ s $($real number$),$ and the value of k at the real$-$axis$-$entry point. ans:$3$