Originally Posted by

**tmillermillert**
A corridor of width *a* is at right angles to a second corridor of width *b*. A long, thin, heavy rod is to be pushed along the floor from the first corridor into the second. What is the length of the longest rod that can get around the corner?

The answer in the back of the book is ( *a *^ ( 2 / 3 ) + *b *^ ( 2 / 3 ) ) ^ ( 3 / 2 ).

It also says convince yourself that this and the preceding problem are essentially the same.

The preceding question is referring to the question below.

(The fireman's problem) A fence *a* feet high is *b* feet from a high burning building. Find the length of the shortest ladder that will reach from the ground across the top of the fence to the building.

Chapter Applications of Derivatives

Section: Applied Maximum and Minimum Problems

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