Two geological field teams are working in a remote area. A global
positioning system (GPS) tracker at their base camp shows the location of
the first team as 38 $\mathrm{km}$ away, $19^{\circ}$ north of west, and the second team as 29 km away, $35^{\circ}$ east of north. When the first team uses its GPS to check
the position of the second team, what does the GPS give for the second
team's (a) distance from them and (b) direction, measured from due east?