Solving for \(\theta\): A Geometry Refresher

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Homework Help Overview

The discussion revolves around solving for the angle \(\theta\) in a geometry context, specifically involving right triangles and potentially inclined planes. The original poster expresses uncertainty about basic geometry concepts related to the problem.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the identification of a 60-degree angle and the implications of whether a certain angle is a right angle. There is also a consideration of the role of a line assumed to be normal to a slope.

Discussion Status

The conversation is ongoing, with some participants providing guidance on focusing on the right triangle and questioning the assumptions about angles and lines. Multiple interpretations of the problem setup are being explored.

Contextual Notes

There is uncertainty regarding the classification of angles and the necessity of additional information to determine \(\theta\) accurately. The assumption about the blue line being a normal line is also under discussion.

PerryKid
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Homework Statement



Solve for \theta

viiE1vs.png


Homework Equations



Unknown

The Attempt at a Solution





I know, but I have forgotten my basic geometry.
 
Last edited by a moderator:
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Hello.

You have a good start with the 60 degree angle that you identified. Try working with the red right triangle in the attachment.
 

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  • Wedge.png
    Wedge.png
    10.6 KB · Views: 421
I wasn't sure if that was a right angle.

If so, then the entire problem was a piece of cake. If not, then it's more complicated than I thought.
 
Last edited:
PerryKid said:
I wasn't sure if that was a right angle.

I did make the assumption that the blue line shown is constructed to be a "normal line" (i.e., perpendicular to the slope). That's the usual case when working inclined plane problems.

However, if it is not given to be a normal line, then you can't find θ without additional information.
 

Attachments

  • wedge2.png
    wedge2.png
    3.2 KB · Views: 445

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