This is the question of physics and mathematics.

Working:

Magnitude = (x^2 + y^2)^.5

= (27.0^2 + 42.0^2)^.5

= (729 + 1764)^.5

= 3(277)^.5

= 49.929 units (ANS)

direction:

theta = Tan^-1(y/x) = Sin^-1(Y/Magnitude)

= Tan^-1(42.0/27.0) = Sin^-1 (42.0/3(277)^.5)

= 57.264 = 57.264 (ANS)

Working:

Magnitude = (x^2 + y^2)^.5

= (27.0^2 + 42.0^2)^.5

= (729 + 1764)^.5

= 3(277)^.5

= 49.929 units (ANS)

direction:

theta = Tan^-1(y/x) = Sin^-1(Y/Magnitude)

= Tan^-1(42.0/27.0) = Sin^-1 (42.0/3(277)^.5)

= 57.264 = 57.264 (ANS)