How Do I Solve This 3D Trigonometry Problem?

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    3d Trig
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Discussion Overview

The discussion revolves around a 3D trigonometry problem related to designing a surround constructed from aluminum. The participant seeks to derive specific dimensions and angles mathematically to create a 2D template for a 3D shape, expressing curiosity and a desire for accuracy in the process.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • The participant, Will, is attempting to find the unknown distance B in a geometric configuration where distances A and C are known to be equal (59).
  • Will expresses uncertainty about whether distance C will remain 59 after the construction.
  • Distance D is known, but additional information about angles phi and tau is lacking.
  • Will has calculated an angle (theta) of 7.6 degrees, which is known and relevant to the problem.
  • There is a request for clarification on the provided images, which some participants find unclear.

Areas of Agreement / Disagreement

Participants have not reached a consensus, as there are requests for more information and clarity on the problem. The discussion remains unresolved with multiple aspects still unclear.

Contextual Notes

The discussion highlights limitations in the clarity of visual aids and the need for additional geometric information, particularly regarding angles phi and tau, which are not provided.

skaboy607
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Hi

Not sure if this is simple or not but I can't figure out how to do it! I am designing a surround that will be constructed by folding a sheet of aluminum. I've got the geometry right in 3d but I want to transpose this to a template. Yes I can measure but I want to solve using maths for two reasons, one because I'm curious and can't do it and two, it will be more accurate.

One side is a mirror of the other, have just labelled for clarity. Distances A and C are the same when constructed (59). A I think will remain 59 but C I am not sure about? Distance B is unknown and what I would like to find, then I can just join a line between the two to obtain length C.

For the bottom triangles, distance D is known.

Let me know if other distances are needed and I will figure whether I know them or not?

Thanks

Will

Template-1.jpg


3d.jpg
 
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Can no one help on this? Am I missing some information?
 
Your pictures are too unclear.
 
Thanks for the response. Stuff always clear in your own head! Now that I know they are not understandable, I try to make them clearer. I have attached some images that will hopefully make it clear. From a perspective viewpoint, this is what I want to end up with.

Surround_exhaust.png


From the Side

Surround_exhaust_side.png


And from the top

Surround_exhaust_top-1.png


The angle (theta) in the side image has been calculated and is known. 7.6 deg.

I am making it out of a sheet of aluminum so I need to know dimensions in 2d so that they give me the desired shape in 2d. The 2d shape will be folded to give the 3d one.

In 2d, I don't know the angles phi and tau from this image.

Surround_exhaust_template.png
 

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