Arocket is divided into three sections: the payload and navigation section in the top, the fuel section in the middle, and the rocket engine section in the bottom. the top section is one-sixth the length of the bottom section. the middle section is one-half the length of the bottom section. the total length is 240ft. find the length of each section.

Let's name each of the three sections of the rocket as:

-payload and navigation

-fuel

-engine

Now, we are told that:

The top section is one-sixth the length of the bottom section:

   (1)

The middle section is one-half the length of the bottom section:

  (2)

The total length is 240ft:

   (3)

We may begin by substiting (1) and (2) in equation (3), in order to find the value of the engine section :

   (4)>>>> Value of the engine section length

Then, we substitute this value of in equations (1) and (2):

  (5)>>>> Value of the payload and navigation section length

   (6)>>>> Value of the fuel section length

2,160 π

step-by-step explanation: