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I have no idea what to do here.

 

 May 6, 2020
 #1
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As follows:

 

 May 6, 2020
 #2
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SP = PQ = 2        ST = 1        ∠SPT = ∠TPU 

 

tan(∠SPT) = ST / SP = 26.56505118°

 

∠SPT + ∠TPU =  ∠SPU = 53.13010235°

 

∠UPQ = 90° - ∠SPU = 36.86989765°

 

UQ = tan(UPQ) * PQ = 1.5

 

UR = RQ - UQ = 0.5  indecision

 May 6, 2020

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