Understanding 3D Diagrams for Solving Angle Problems

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Discussion Overview

The discussion revolves around understanding the visualization of a 30-degree angle in a 3D diagram related to a homework problem. Participants explore the implications of the angle's orientation and its representation in relation to different planes.

Discussion Character

  • Homework-related
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant expresses confusion about visualizing the 30-degree angle and questions whether it is situated between two planes or just one, suggesting it might be in the x/y plane.
  • Another participant argues that with only one angle given, it must represent a two-dimensional orientation, implying that a third angle would be necessary for a three-dimensional context.
  • A different participant asserts that the angle is relative to the plane of rotation of the handle, indicating that it is 30° clockwise from horizontal, and critiques the drawing for not having the angle ray parallel to the x-axis.
  • One participant finds the original 3D drawing interpretable but suggests that the answer key's sketch is more challenging, hinting at a potential issue with the answer key or the interpretation of it.
  • Another participant reiterates the critique of the drawing, emphasizing the horizontal ray's alignment issue and suggesting it may be an optical illusion.

Areas of Agreement / Disagreement

Participants express differing views on the clarity of the diagrams and the interpretation of the angle's orientation. There is no consensus on whether the original drawing or the answer key is more accurate or clearer.

Contextual Notes

Participants note potential limitations in the drawings and interpretations, including the need for additional angles in three-dimensional contexts and the alignment of the angle ray with the x-axis.

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Homework Statement


upload_2018-3-27_0-17-15.png


Homework Equations

The Attempt at a Solution


[/B]
I am having trouble visualizing the 30 degree angle? How would i know that it is in between 2 planes and not just 1 plane. I thought it would be in the x/y plane. In cases like this where they should you the angle (arrow) to where a object is turning confuses me. I need help figuring out the direction of these angles.

The answer key has it this way: Which was unlikely what i would visualize it...
upload_2018-3-27_0-18-51.png
 

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SInce there is only one angle given, 30°, it must be a two-dimensional orientation. If it involved three dimensions, an additional angle would have to be specified,

p.s. I agree the visual depiction is confusing, poorly drawn.
 
Since the handle rotates in a plane parallel to the x-z plane, it seems pretty obvious to me that the angle is relative to the plane of rotation of the handle. The handle's position is 30° clockwise from horizontal. The drawing wouldn't make any sense if the angle were interpreted as being a horizontal angle. IMO the only thing wrong with the drawing is that the horizontal ray that indicates the angle measure isn't quite parallel to the x-axis. Other than that, the drawing seems pretty clear to me.
 
The original 3D drawing seems easy enough to interpret. The answer key sketch seems harder. I suspect the problem is with the answer key or your interpretation of it.

Perhaps post the whole problem as written?
 
Mark44 said:
IMO the only thing wrong with the drawing is that the horizontal ray that indicates the angle measure isn't quite parallel to the x-axis
Optical illusion.
 

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