I have been spending 2 hrs on this vector problems i don't get it?

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SUMMARY

The discussion centers on solving a vector addition problem involving a spelunker's path in a cave. The spelunker travels 210m west, 180m at 45 degrees east of north, and 110m at 60 degrees east of south, ultimately returning to the starting point after a fourth unmeasured displacement. Participants emphasize the importance of breaking down the vectors into components and forming right triangles to facilitate the calculation of the fourth displacement. The solution requires a clear understanding of vector addition and the ability to visualize the problem geometrically.

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  • Understanding of vector addition and components
  • Knowledge of trigonometric functions for angle calculations
  • Ability to draw and interpret scaled diagrams
  • Familiarity with right triangle properties
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  • Study the use of trigonometric functions in vector problems
  • Practice solving vector addition problems using graphical methods
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Students studying physics or mathematics, educators teaching vector concepts, and anyone needing to solve complex vector addition problems.

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Homework Statement


A spelunker is surveying a cave. He follows a passage that goes 210m straight west, then 180 m in a direction 45 degrees east of north, then 110m at 60 degrees east of south. After a 4th unmeasured displacement he finds himself back where he started. Use a scaled drawing to determine the 4th displacement.



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The Attempt at a Solution


I drew the figure but still do not get it! There are 4 different lines so it can't be a triangle. I am certain I have placed both degrees right.
 
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Don't let the problem tell you if there are triangles in there or not. If you can't find any, make some.

Do you know how to solve vector addition problems with components (ie, making some easy right triangles out of vectors)? That's where you'll want to start.
 

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