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Clara found that a crane that is 30 yards tall casts a shadow 16 yards long. Then Clara
noticed a nearby windmill that is 60 yards tall. How long is the windmill’s shadow?
Write your answer as a whole number or a decimal. Do not round.

Ask by Fowler Pearson. in the United States
Jan 23,2025

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The windmill’s shadow is 32 yards long.

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The Deep Dive

To solve this, we can use the concept of similar triangles. Since the crane and its shadow form one triangle, and the windmill and its shadow form a second triangle, the ratios of their respective heights to the lengths of their shadows will be the same.
The height of the crane is 30 yards, and it casts a shadow of 16 yards. The height of the windmill is 60 yards, and we can let the length of its shadow be yards.
We can set up the proportion:
Cross-multiplying gives:
So, the windmill’s shadow is 32 yards long.

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