A spy report about a suspected car reads as follows. “The car moved 2km towards east, made a perpendicular left turn, ran for 500m, made a perpendicular right turn, ran for 4km and stopped. If the magnitude and direction of the displacement of the car is $\frac{12.04}{n}\text{ and }{\mathrm{Tan}}^{-1}\left(\frac{1}{6n}\right)$ find the value of n