SOLUTION: A person runs 18 blocks east, 5 blocks south, and 6 blocks west. What is the actual distance from where they started?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A person runs 18 blocks east, 5 blocks south, and 6 blocks west. What is the actual distance from where they started?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 393911: A person runs 18 blocks east, 5 blocks south, and 6 blocks west. What is the actual distance from where they started?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
If we assume that the person starts at the origin, and east and north are positive, then the x component of the resultant vector is 18 + (-6) = 12. Also, his y component is -5. Applying the Pythagorean theorem, the magnitude of the resultant vector is 13 (due to the 5-12-13 triangle), so he is 13 blocks away from his starting point.