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UKMT Junior Kangaroo, 2017

Geometry Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

In the diagram, $PQRS$ is a square of side $10$ cm. $T$ is a point inside the square so that $\angle SPT = 75°$ and $\angle TSP = 30°$ . What is the length of $TR$ ?

(A) $8$ cm (B) $8.5$ cm (C) $9$ cm (D) $9.5$ cm (E) $10$ cm

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