I have no idea what to do here.
As follows:
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