Understanding 3D Diagrams for Solving Angle Problems

[lc99]

Homework Statement

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...

 

[Tom.G]

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.

 

[Mark44]

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.

 

[CWatters]

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?

 

[256bits]

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.