A vector of magnitude 30 and direction eastwards is added with another vector of magnitude 40 and direction northwards. Find the magnitude and direction of resultant with the east.

Answer 1

draw a diagram, and you will see a 3-4-5 right triangle. So, the final displacement is 5, the hypotenuse.

The direction (measured from due east) is x, where tan(x) = 40/30

Answer 2

How they becomes 57° from 37°??