Question
Suppose a pilot flies 40.0 km in a direction $60^\circ$ north of east and then flies 30.0 km in a direction $15^\circ$ north of east as shown in Figure 3.63. Find her total distance $\vec{R}$ from the starting point and the direction $\theta$ of the straight-line path to the final position. Discuss qualitatively how this flight would be altered by a wind from the north and how the effect of the wind would depend on both wind speed and the speed of the plane relative to the air mass.
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$64.8 \textrm{ km, } 40.9^\circ \textrm{ N of E}$