While following the directions on a treasure

Question

map, a pirate walks 37.8 m north, then turns
and walks 5.2 m east.
What is the magnitude of the single
straight-line displacement that the pirate
could have taken to reach the treasure?
Answer in units of m.
004 (part 2 of 2) 10.0 points
At what angle with the north would he have
to walk?
Answer in units of ◦
.

Answer 1

X = 5.2 m.
Y = 37.8 m.

Disp. = Sqrt(X^2 + Y^2).

Tan A = Y/X = 37.8/5.2 = 7.26923.
A = 82.2o N. of E. = 7.8o E. of N.