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A set of estimates of various physical quantities is shown below. For each estimate, consider the following three questions:
A 1 metre cube has one face on the ground and one face against a wall. A 4 metre ladder leans against the wall and just touches the cube. How high is the top of the ladder above the ground?
The problem is how did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?
How many generations would link an evolutionist to a very distant ancestor?