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**(CHALLENGING!!)Trigonometry / geometry proof**

Hey guys I've spent a couple hours on this without even coming close. I'm hoping someone here can drop me a hint.

**The only other information I have is that GT extended is a type of sheet (metal sheet) balancing and "rocking" forward and backward on the circular structure of radius R (cylinder).**

From the above image I need to proof that GL is R(THETA) in length.

From the above image I need to proof that GL is R(THETA) in length.

Hints or help or links would be of HUGE assistance.

Thanks in advance!

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