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A maple tree is 6 meters tall. Its shadow is 8 meters long. Close by, there is a streetlamp
that is 9 meters tall. How long is the streetlamp's shadow?
Write your answer as a whole number or a decimal. Do not round.

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12 meters

Step-by-step explanation:

The assumption regarding shadow lengths is that they are proportional to height at any given place and time.


Here, the streetlamp is 9/6 = 3/2 times as tall as the tree, so we expect its shadow to be 3/2 times the length of the tree's shadow.

(3/2)(8 m) = 12 m

The streetlamp's shadow is 12 meters long.
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