Answer
$YS= 42/5 \\ TY = 33/5$
Work Step by Step
Using the Pythagorean theorem, we find:
$ YS= \sqrt{14^2 - (168/15)^2} = \sqrt{\frac{44100}{225}} = 42/5$
$ TY = TS - YS = 15 - 42/5 = 33/5$
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