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

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PerryKid
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Homework Statement



Solve for [itex]\theta[/itex]

viiE1vs.png


Homework Equations



Unknown

The Attempt at a Solution





I know, but I have forgotten my basic geometry.
 
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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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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.
 
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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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