Calculate Total Boat Trip Distance: 70° & 272° Directions

  • Thread starter Thread starter FrostScYthe
  • Start date Start date
AI Thread Summary
The boat's journey involves two legs: first sailing at 70° and then at 272°, ultimately docking 150 km north of the starting point. The angles need to be measured clockwise from north for accurate representation. A correct diagram is essential for applying the Sine Law to calculate the total distance traveled. The discussion highlights the importance of correctly interpreting angles and drawing diagrams to solve the problem. Accurate calculations depend on these representations to find the total distance.
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Homework Statement


A boat leaves the dock and sails in a direction of 70°. Once reaching its destination on the opposite shore, it sails
in a direction of 272° and docks 150 km north of its original starting position. What is the total distance the boat
has traveled?

Homework Equations


Sine Law


The Attempt at a Solution


I don't think I'm getting the right answer because I'm not representing the problem correctly. This is how I'm representing the problem then I just simply use AAS

http://img243.imageshack.us/my.php?image=untitledce7.jpg
 
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Your angles are incorrect- they should be measured from north in a clockwise direction. Using this, you should be able to draw the correct diagram, where the final poistion is due north of the starting position.
 
I assume the 272° is with respect to the 'horizontal axis'?
 
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