this post was submitted on 09 Jun 2024
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Engineering
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There is a ton of ways to solve this, but I believe what might help you the most is a tool that allows you to a) solve these kinds of problems repeatedly, with variations in the setup and b) helps you re-learn the basic math.
Therefore, I suggest you setup your problem in Geogebra:
https://www.geogebra.org/math/angles
You can introduce an interactive slider to vary one or more parameters (e. g. extension of the linear rod) and immediately read all other values, like lengths and distances.