Archaeologists use math a lot in their work, as it is important to measure everything and
calculate weights, diameters, and distances. All kinds of estimates are based on mathematical
equations
In several different parts of the world, footprints from prehistoric human civilisations have been
found preserved in either sand or volcanic ash. From these tracks it is possible to measure the
foot length and the length of the stride. These measurements can be used to estimate both the
height of the person who made the footprint and also whether the person was walking or
running by using the following three formulas:
Note that no units have been included in these formulas, so it is important to make sure that the
same units, for example centimetres, are used throughout the calculation. If the value of the
relative stride length is less than 2, the person was probably walking and if the value is greater
than 2.9, the person was probably running.
1: From one set of footprints the length of the foot is
measured as 21.8 cm and the stride length as 104.6
cm. What does the data suggest about the height
and the motion of the person who made these
footprints?
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