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

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To solve for \(\theta\), the discussion emphasizes the importance of identifying the right triangle and confirming whether the angle in question is indeed a right angle. A 60-degree angle has been recognized as a starting point, but clarity on the right angle is crucial for simplifying the problem. The blue line is assumed to be a normal line, which is typically perpendicular to the slope in inclined plane scenarios. If this assumption is incorrect, additional information will be necessary to determine \(\theta\). Understanding these geometric principles is essential for accurately solving the problem.
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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
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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.
 

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  • wedge2.png
    wedge2.png
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