Sofa Moving Problem

or If the Movers Had Been Mathematicians

Even More Mathematics

Let us consider the situation from a trigonometric point of view.

From the right triangles AIN and IBM we have

, , .

Then the pole length p, as a function of the angle α, is:

.

This derivative will be 0 when the expression in the brackets is equal to 0. This means that the function will have an extremum when:

.

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