Consider the pipe in $($Figure $1).$

Figure$1$ of $1$

An assembly consisting of four pipes is shown in the x y z space. The first pipe is $2$ feet long and extends from end point $\text{'}$A$\text{'}$ on the positive z axis to the origin. The second pipe extends from the origin and lies in the x y plane between the negative x axis and the positive y axis making an angle of $45$ degrees with the negative x axis. The third pipe is connected to the end of the second pipe and extends in the x y plane parallel to the x axis to a point located between the positive x axis and the positive y axis $4$ feet away from the y axis and $3$ feet away from the x axis. From this point, the fourth pipe extends for $2$ feet to the fifth octant parallel to the z axis to end point B$.$

Part A

Determine the distance between the end points A

and B

on the pipe assembly.

Express your answer in feet to three significant figures.

Activate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type

rAB

$=$

nothing

ft