A scout troop is practicing its orienteering skills with map and compass. Next t

Question

A scout troop is practicing its orienteering skills with map and compass. Next they walk 45 degrees west of north for 2.7 km and stop. In what direction must they walk, and how far (in km) to return in the shortest distance, directly back to their starting point? A scout troop is practicing its orienteering skills with map and compass. Next they walk 45 degrees west of north for 2.7 km and stop. In what direction must they walk, and how far (in km) to return in the shortest distance, directly back to their starting point?

Explanation / Answer

X(hor) = f + 2.7cos(90+45)

Y(ver) = 2.7sin(90+45)

direction = arctan(Y/X) = A

d = X/cosA

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