[SOLVED]What is the longest pipe

karush

Well-known member
A steel pipe is being carried down a hallway $9\text{ ft}$ wide.
At the end of the hall is a right angled turn into a narrower hallway $6\text { ft}$ wide.
What is the length of the longest pipe that can be carried horizontally around the corner

View attachment 1673
assume that $\displaystyle L(\theta)=\frac{9}{\sin{\theta}} + \frac{6}{\cos{\theta}}$

will give length of pipe but this doesn't take in account the constraints of the hall corner?

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Staff member

karush

Well-known member
$d/dx L(\theta)=0$ one ans is $-61.979$

then $L(-61.979)=21.0704$

this seems to be the same ans to all given $d/dx L(\theta)=0$ if it is abs

I did look at the solutions to POTW

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