Answer :
Answer:Total displacement =36.63 m
Explanation: For the y component of the displacement only the north and south displacement is to evaluated
The displacement in the south can be taken as negative
The first displacement of hiker is 45 degree in 4rth quadrant as described in the question as "south East"
if we take the distance 17 km as hypotenuse then to find y component we will find the perpendicular
[tex]-sin 45=perpendicular / 17\\perpendicular=d1\\d1=-17*sin 45\\d1=-12.02m[/tex]
similarly the angle for the second displacement in the north is given as 66.7 degree and we will use the same approach
This is in the first quadrant hence the displacement is positive
[tex]sin 66.7=perpendicular / 49.7\\perpendicular=d2\\d2=49.7*sin 45\\d2=45.646m[/tex]
Total displacement =d1+d2
Total displacement =36.63 m in the north