**B + A = A + B**.) Discuss how taking another path to reach the same point might help to overcome an obstacle blocking your other path.

**Exercise 3.16**: Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in Figure 3.60, then this problem asks you to find their sum **R = A + B**.)

$30.8 \textrm{ m, }54.2^\circ \textrm{ N of W}$

### Solution video

# OpenStax College Physics, Chapter 3, Problem 17 (Problems & Exercises)

### Calculator Screenshots

## Comments

why did you do 18/25 instead of 25/18

Thanks a lot for pointing this out happyfeet1025. I've flagged this video for a re-take and put a note in the final answer section. I mistakenly substituted the x-component divided by y-component, which results in the angle being to the West of North. The angle is between the resultant vector and the y-axis.

All the best with your studies,

Shaun

This video was updated Nov. 22nd, 2023