Resolving vectors - direction issue

  • Thread starter Hemingway
  • Start date
  • #1
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So I've worked out part (a) - just not (b) as I don't understand how it can be measured from due east. I don't want it worked out for me, just help me understand this due east business. I can't see how it can be anything but due west...

Background:
Orienteering teams are operating in a densely forrested area.The GPS at their base shows the location of team A as 78.2 km away, 14° north of west, and team b as 231 km away, 59° east of north.

When team A uses its GPS to check the position of the team b, what does it give for the team b's (a) distance from them and (b) direction, measured from due east?

Homework Equations



Resolving vectors into components

The Attempt at a Solution



I know how to do this question except when it gets to: direction from due east. It seems that B's team could be measured from A, but this would be the due West right? hmmmmm... can someone help? thanks:)

The image below was constructed to show that theta could be from B team near east... I don't know it will show you an insight anyway...

[URL]http://www.flickr.com/photos/40253561@N06/4910222024/[/URL]

Thank you so much!
 
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Answers and Replies

  • #3
Andrew Mason
Science Advisor
Homework Helper
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First, draw the vectors correctly to scale. How can 78.1 km be longer than 231 km?

To determine the vector displacement of b from A draw a vector with its tail at A and its head at b. Use A as the origin (i.e. N-S,E-W axes through A) to determine direction from A.

AM
 
  • #4
42
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Thank you very much! :)
 

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