Task no 12 - Thales´cane (Turkey) - by Spain

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    "An Egyptian priest asks smiling at Thales, how much does the pyramid of King Khufu measure?. Thales thinks and then he says:" I´m not going to calculate it". Just by looking at it, but he measured it without  the help of any instrument. He lays on the sand and determines the length of his body.

    The priest asks him what he's thinking, and Thales explains it to him: 'I'll just stand at one end of this line, which measures the length of my body, and I will wait until my long shadow matches it. At that moment, the shadow of the Pyramid of Khufu has to mesure as many steps as the height of the pyramid. '

    The priest, bewildered by the extreme simplicity of the solution, wonders whether there is some mistake, some sophistry, Thales added: 'But if you want me to measure that height, at any time, I´ll put my stick in the sand.

    Now suppose that at a certain time of the day, the shadow of the pyramid, in antiquity, measuring 280 meters and the shadow of the stick measured 2.87 meters. Calculate the height of the cane and tell us who was the wise man who owned it.