1. Starting in Albany, you travel a distance 293 miles in a direction 28.0 degrees north of west. Then, from this new position, you travel another distance 489 miles in a direction 44.6 degrees north of east. In your final position, what is your displacement from Albany?

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Chapter1: Units, Trigonometry. And Vectors
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Problem 68P: A map suggests that Atlanta is 730. miles in a direction 5.00 north of east from Dallas. The same...
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1. Starting in Albany, you travel a distance 293 miles in a direction 28.0 degrees north of west. Then, from this new position, you travel another distance 489 miles in a direction 44.6 degrees north of east. In your final position, what is your displacement from Albany? 

782 miles 72.6 degrees North of East 

489 miles 79.5 degrees North of West 

333 miles 50.4 degrees North of West 

782 miles 72.6 degrees North of West 

Expert Solution
Step 1

Given data:

  • Distance traveled in the first leg: 293 miles
  • Direction of the first leg: 28.0 degrees north of west
  • Distance traveled in the second leg: 489 miles
  • Direction of the second leg: 44.6 degrees north of east

To find:

  • Final position

 

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