SOLUTION
From the diagram given, since triangle TVW is similar to triangle TUS, then the ratio of their corresponding sides would be equal, that is
[tex]\begin{gathered} \frac{TW}{VW}=\frac{TS}{US} \\ \frac{x}{54}=\frac{4}{6} \\ 6\times x=54\times4 \\ 6x=216 \\ x=\frac{216}{6} \\ x=36 \end{gathered}[/tex]
Hence x = 36
Also
[tex]\begin{gathered} \frac{TV}{VW}=\frac{TU}{US} \\ \frac{27}{54}=\frac{y}{6} \\ 54\times y=27\times6 \\ 54y=162 \\ y=\frac{162}{54} \\ y=3 \end{gathered}[/tex]
Hence y = 3
