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#### karush

##### Well-known member

- Jan 31, 2012

- 3,189

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?

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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