east is our x axis
north is out y axis N
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W _____|_______E
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S
so he moves 3 m to the right and then 4 upwards
imagine what that looks like.......... a right angle triangle
therefore we can use Pythagorean theorem
let the unknown side be x, which is the hypotenuse in this case
x^2 = 3^2 + 4^2
x^2 = 9 + 16
x^2 = 25
take the square root
x = 5
5 is your magnitude and the direction is NE( North East) or positive direction