<PRE><B>Question 192709</B>
need  to  draw  sketch  as  defined  above,  rough  is  ok

to calc  ST,  we  just  have  to  recognize  that  triangle  STP  is  a  rt  triangle,  with PS=6,  and PT=7  both  given.  using  pythagorous  st^2 = 6^2+7^2,  and  ST = 9.2195

to  find  RV,  we need  to  recognize  that  PTS  is  similar  to  VSR  (  note  order  of  sides)
This  follows  from  both  have  a  rt  angle(given),  and  angle  PTS =angle TSR  from  AIA

sides  are  proportional  in  similar  triangle,  so  being  very  careful  to  compare  proportional sides

ST/RS=PS/RV
9.2/9=6/RV
(6*9)/(9.2)=RV
5.857=RV

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