Formula for crank/piston setup

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I’m not totally certain how to ask this question or what mechanism this is, but I’m trying to know how far the bottom of a vertical object will travel when pushed straight down from the top.

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   |<——- What is diaganol travel?


Exertion
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Far 
Did this move? 

If the bar moves down 10 inches, did it also move across the ground 10 inches at the bottom? Or what is the formula for this?