You are feeling bored and decide to take a walk. You walk 49.4 m at a direction 30 degrees N of W and then 30 m east

Question

What is the magnitude of the vector that describes your position with respect to your starting point. (If the first part of your trip is vector A and the second part is vector B, you are looking for A + B.) (Answer in meters)

Answer 1

The first vector will be -49.4cos(30) and 49.4sin30 assuming East is + and North is +. The second vector will be 30 east.

The resultant will then be -12.7 i +24.7j having a magntude of Sqrt(12.7²+24.7²) = 27.8m