2.4 Exercise 20

You fly $32.0 \text{km}$ in a straight line in still air in the direction $35.0 °$ south of west. (a) Find the distances you would have to fly due south and then due west to arrive at the same point. (b) Find the distances you would have to fly first in a direction $45.0 °$ south of west and then in a direction $45.0 °$ west of north. Note these are the components of the displacement along a different set of axes—namely, the one rotated by $45 °$ with respect to the axes in (a).