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The answer is that annually, on the day of the summer solstice the sun will be highest in the sky at noon. But the sun will be lowest in the sky at noon, on the day of the winter solstice.

So on the day of an 'equinox' the sun will be in an intermediate position at noon because an equinox represents the time of year when day and night are roughly equal.

Because the days are longer in summer, then the sun will high in the sky at noon and if you plant a stick in the ground it will project a short shadow.

In winter when the days are short, the sun is lower in the sky at noon and will project a long shadow.

At an equinox therefore, the noon shadow will be half way in between because day and night are roughly equal.

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