While following the directions on a treasure map, a pirate walks 37.0 m north and then turns and walks 8.5 m east. What is the magnitude of his resultant displacement?

Question

While following the directions on a treasure map, a pirate walks 37.0 m north and then turns and walks 8.5 m east. What is the magnitude of his resultant displacement? 
A: 38 m
B: 45.5 m 
C: 28.5 m

Your mom.com · Accepted Answer

4. What is the direction (including angle) of the pirate’s displacement in question #3? A: 13 degrees north of east B: 77 degrees north of east C: 13 degrees north D: 77 degrees north

R_scott · Answer

3. d^2 = 37.0^2 + 8.5^2 4. Θ is the angle measured from the x-axis ... tan(Θ) = 37.0 / 8.5

oobleck · Answer

√(37.0^2 + 8.5^2) = ______ the angle x (north of east) is such that tan(x) = 37/8.5