Question

A: a man travels 7.0km due north then 10.0km east. Find the
resultant displacement

Answer 1

sqrt(49+100) = sqrt 149 = 12.2 km
angle east of north = tan^-1 (10/7)
so 55 degrees east of north
or in x y coordinates (90-55) = 35 degrees above x axis

Answer 2

Hint: Set up a diagram, use Pythagorean Theorem, and then use inverse tangent to find the angle. Tell us what you get from here.