Answer:
PQ = 54
Step-by-step explanation:
The rest of the question is the attached figure.
As shown:
triangle RPQ is similar to triangle RTS.
So, the corresponding sides are in proportion.
[tex]\frac{PQ}{TS}= \frac{RP}{RT}[/tex]
From the figure:
TS = 36 , RP = 42 AND RT = 28
∴ [tex]\frac{PQ}{36} = \frac{42}{28} \\[/tex]
∴ PQ = 36 * 42/28 = 54
So, the distance between P and Q = 54
