Answer:
16 feet
Step-by-step explanation:
Assuming the bottom section to be B, we can say that,
top section = [tex]\frac{1}{8}[/tex] B
middle section = [tex]\frac{1}{2} B (bottom)[/tex]
The total length of the rocket is 208 feet so we can write it as:
[tex]\frac{B}{8} +\frac{B}{2} +B = 208[/tex]
Taking the LCM to get:
[tex]B+4B+8B=1664[/tex]
[tex]13B=1664[/tex]
[tex]B=128[/tex]
Therefore, the length of the top section is [tex]\frac{128}{8} =[/tex]16 feet, length of middle section is [tex]\frac{128}{2} =64 feet[/tex] and length of the bottom section is [tex]128 feet[/tex].
