His movements 1km due east and then 1 km due north make a Right-Angled Triangle.
Using Pythagoras' theorem;
The Resultant becomes the Hypotenuse [h]
Hyp 2 = Adj2+Opp2
Hyp2 = 12 + 12
Hyp2 = 2 → Hyp = √2
: Resultant = √2
DIRECTION TAN Ø = OPPADJ
TAN Ø = 11
Ø = TAN −1 [1]
Ø= 45°
Displacement is √2km N 45°E
