Why is the diagonal in a unit square √2? Shouldn’t it add up to 2 since it has to go up 1 unit and right 1 unit? If I made infinitely small vectors zig-zaging like stairs towards the opposite vertex wouldn’t the distance covered add up to 2?
The way a ladder is taller standing straight up, then when at a 45 degree incline. To reach the same height as say 10′ ladder going straight up, a ladder at a 45 degree slope would have to be roughly 1.4x as long to reach 10 feet in height.
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