A scout troop is practicing its orienteering skills with map and compass. First they walk due east for 1.5 km. Next, they walk 32° west of north for 3.5 km. How far and in what direction must they walk to go directly back to their starting point?

Answer 1

X=hor = 1.5 + 3.5cos(90+32) = -0.355km.

Y = ver = 3.5sin(90+32) = 3.01km.

d = X/cosA = -0.355 / cos96.7 = 3.04km@
96.7deg.=Distance from starting point.