Arocket is divided into 3 sections. the top section is one -sixth the length of the bottom section. the middle section is one -half the length bottom section. the total length of the rocket is 240 ft. find the length of the top section

Let the bottom section has length x feet.

1. The top section is the length of the bottom section, then the length of the top section is

2. The middle section is the length bottom section, then the middle section has length

3. The total length of the rocket is

that is 240 feet.

Thus, you have the equation

4. Solve it. Multiply this equation by 6:

Divide it by 10:

The length of the bottom section is 144 feet, then the length of the top section is

The top section has length 24 feet

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2