# Question: a hiker walks 5km due north and then 2km due...

###### Question details

a
hiker walks 5km due north and then 2km due east, what direction and
how far should he hike to return back ?

Now the same hiker continues his journey 3km due north then
4km at an angle 30 degrees south of east and then finally 5km at an
angle 45 degrees north of west and wants to return to his starting
point. Now what direction and how far should he travel in ?