Question

an ant walk 1 meter west and then 3 meters north whats is the ants direction in degrees

Answer 1

arctan(3) = 71.6 degrees north of west, relative to the starting point.

Answer 2

One metre west and 3 metres north will be equivalent to an angle of tan^-1(1/3) west of north.
Use a calculator or a table of tangents to find the angle.