Answer:
(C) 15 units
Step-by-step explanation:
From the given figure, it is given that ST=9, TQ=16 and RT=x,
From ΔSRQ, we get
cosS=[tex]\frac{RS}{SQ}[/tex]
cosS=[tex]\frac{RS}{25}[/tex] (1)
Also, from ΔSTR, we have
cosS=[tex]\frac{ST}{RS}[/tex]
cosS=[tex]\frac{9}{RS}[/tex] (2)
From equations (1) and (2), we get
[tex]\frac{RS}{25}=\frac{9}{RS}[/tex]
⇒[tex](RS)^{2}=225[/tex]
⇒[tex]RS=15 units[/tex]
Thus, Option C is correct.
