Variation With Time
Shadow length when caused by the sun changes dramatically throughout the day. The length of a shadow cast on the ground is proportional to the cotangent of the sun's elevation angle—its angle θ relative to the horizon. Near sunrise and sunset, when θ = 0° and cot(θ) is infinite, shadows can be extremely long. If the sun passes directly overhead, then θ = 90°, cot(θ)=0, and shadows are cast directly underneath objects.
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“A man who sees another man on the street corner with only a stump for an arm will be so shocked the first time he’ll give him sixpence. But the second time it’ll only be a threepenny bit. And if he sees him a third time, he’ll have him cold-bloodedly handed over to the police.”
—Bertolt Brecht (1898–1956)