Find the missing side length in the image attached.

Answer:
? = 35.
Step-by-step explanation:
According to the diagram...
? / 42 = 30 / (66 - 30)
? / 42 = 30 / 36
? / 42 = 5 / 6
6 * ? = 42 * 5
? = 7 * 5
? = 35
Hope this helps!
Answer: 35
Step-by-step explanation:
Set up the proportion as follows:
[tex]\dfrac{66}{30}=\dfrac{42+x}{x}\\\\\\66x=30(42+x)\\\\\\66x=1260+30x\\\\\\36x=1260\\\\\\x=\dfrac{1260}{36}\\\\\\x=\large\boxed{35}[/tex]