A Vector Has A X Component Of 27.0 Units And A Y Component Of 42.0 Units. Can You Find The Magnitude And Direction Of This Vector?

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)