CAYLEY 2016 Problem 11

Past Contests CAYLEY 2016
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1

In the diagram, PQ is perpendicular to QR,QR is perpendicular to RS, and RS is perpendicular to ST.

Image

If PQ=4,QR=8,RS=8, and ST=3, then the distance from P to T is

Answer Choices
A. 16
B. 12
C. 17
D. 15
E. 13