Answer
$RS= 3\sqrt 2 \approx 4.24$
$ST= 3\sqrt 2\times\sqrt 3 \approx 7.34$
Work Step by Step
In △RST
$\angle STV=150^{\circ}$
So $\angle STR=180-150=30^{\circ}$ because supplementary angles
So $\angle SRT= 60^{\circ}$
now By Theorem 5.5.2/ (30-60-90 Theorem)
$RT=6\sqrt 2$ given
$RS= 3\sqrt 2 \approx 4.24$
$ST= 3\sqrt 2\times\sqrt 3 \approx 7.34$
