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The Shadow

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A pillar 8 feet tall casts a shadow 4 feet long on the ground. If the pillar was 12 feet tall, how many feet in length would the shadow be ?
Answer: 6


The lengths of the shadows are to one another as the heights of the pillars. Thus,

Length of the shadow for a pillar 12 feet tall
= (12 / 8) × 4 = 6 feet.

Food for thought:

What other factor(s) does the length of a shadow depend on? Does the time of the day or the position of the sun determine the length of the shadow?

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