solution:
Now, the total displacement of her trip is given as,
d¬̅ = (0.7mi)(- jˆ)+ (0.8mi) iˆ + (1.2mi)cos30˚I + (1.2mi)sin30˚ jˆ
d¬̅ = (0.7mi)(- jˆ)+ (0.8mi) iˆ + (1.04mi) iˆ + (0.6mi) jˆ
d¬̅ = (1.84mi) iˆ + (0.1mi)( - jˆ)
the displacement lies in the fourth quadrant
so, the direction of the total displacement will ne in east-south direction.