Please answer this one with the help of diagram

Dear Student,

The given figure help you regarding the solution
the man moves in direction X axis =
 4i^ -i^ -32 cos450i^ (angle 450 because north - west direction given in question)3i^ - 32 ×12i^3i^ - 3i = 0
the man moves along Y axis =4j^ +32sinθj^ =4j^ +32sin450j^  =4j^ +32×12j^  =4j^ +3j^ =7j^

since the displacement is along Y direction only.

hence magnitude =  7 km along NORTH direction



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