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Is the right answer ....

When at school I was always interested in how applied maths could be used. My father-in-law is a builder and he has a loop of string exactly 12 metres with finger sized loops [for little ground pegs] spaced 3, 4 & 5 metres apart. He uses this to build walls that need to be exactly square, he...

When you say "due north" is that magnetic north? It the hole was on the exact north pole, I don't think the right angle can be assumed. Mind, way too cold to play gold at the north pole so clearly not the case. I like the: While you're building a house which is square with all sides facing...