1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Vectors city to city problem

  1. Sep 3, 2010 #1
    1. The problem statement, all variables and given/known data

    An airplane flies 200 km due west from city A to city B and then 345 km in the direction of 34.5° north of west from city B to city C. In straight-line distance, how far is city C from city A? Relative to city A, in what direction is city C?

    2. Relevant equations

    The Pythagorean theorem

    3. The attempt at a solution

    398.78 km
  2. jcsd
  3. Sep 3, 2010 #2
    Re: Vectors

    The Pythagorean theorem is about right-angled triangles. The triangle ABC in your problem is not right-angled.

    The way to solve this would be: draw the situation, then try to make some right-angled triangle, calculate the length of its sides using sine and cosine functions and then use the Pythagorean theorem.
  4. Sep 3, 2010 #3
    Re: Vectors

    I dont know how to draw 34.5 degrees north of west.
  5. Sep 3, 2010 #4
    Re: Vectors

    Yeah I can understand that, I do not find it very clear terminology either, but I am assuming they meant rotating the negative x-axis (i.e. west) 34.5 degrees in clockwise direction (i.e. towards north).
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook