A fun classroom activity

Maurice is 180 cm tall. When he stands on a bathroom scale, it reads 75 kg.

Now Maurice lies down on his back, supporting his body with a bathroom scale under his neck (30 cm from the top of his head) and with another scale under his calf (160 cm from the top of his head).

The scale under Maurice's neck reads 40 kg. What is the location of Maurice's center of mass, measured from the top of his head? (Round to the nearest centimeter, if necessary.)

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