ABCDEF - QRSTUV. Find the length of ST.

Answer:
Option (1)
Step-by-step explanation:
It's given in the question, ABCDEF ~ QRSTUV,
Their corresponding sides will be proportional.
[tex]\frac{AB}{QR}= \frac{BC}{RS}= \frac{CD}{ST}= \frac{DE}{TU}= \frac{EF}{UV}[/tex]
Now we choose [tex]\frac{DE}{TU}=\frac{CD}{ST}[/tex]
From the figure attached,
[tex]\frac{6}{2.4}=\frac{5.4}{ST}[/tex]
ST = [tex]\frac{5.4\times 2.4}{6}[/tex]
ST = 2.16
Therefore, Option (1) is the correct option.