Answer:
The man had a displacement of 12.88 m southeastward
Step-by-step explanation:
The path of man forms a right triangle. The first two magnitudes given in the problem form the legs and the displacement that we must calculate forms the hypotenuse of the triangle. To do this we will use the equation of the pythagorean theorem.
H = magnitude of displacement
[tex]H^2 = \sqrt{L_1^2 + L_2^2} = \sqrt{6.70^2 + 11.0^2} = \sqrt{165.89} =12.88 m[/tex]
using the graphic method, we will realize that the displacement is oriented towards the southeast
