186.--THE CLOTHES LINE PUZZLE.

Multiply together, and also add together, the heights of the two poles

and divide one result by the other. That is, if the two heights are a

and b respectively, then ab/(a + b) will give the height of the

intersection. In the particular case of our puzzle, the intersection was

therefore 2 ft. 11 in. from the ground. The distance that the poles are

apart does not affect the answer. The reader who may have imagined that

this was an accidental omission will perhaps be interested in

discovering the reason why the distance between the poles may be

ignored.

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