Question
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  1. Spatis When Alonzo, who is tall, stands next to a basketball goal, his shadow
    is 'ong, and the basketball goal’s shadow is long. About how tall is the
    basketbail goal?

Ask by Weston Rodriguez. in the United States
Dec 29,2024

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Tutor-Verified Answer

Answer

The basketball goal is about 12 feet 10 inches tall.

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Bonus Knowledge

To find the height of the basketball goal using similar triangles, we can set up a proportion based on the lengths of Alonzo’s height and shadow compared to the basketball goal’s height and shadow. We know that Alonzo’s height is (which converts to 71 inches) and his shadow is long (or 24 inches). The basketball goal’s shadow is (which converts to 52 inches).
Using the proportion:
Cross-multiplying gives:
Thus, the height of the basketball goal is approximately 154 inches, or about 12 feet 10 inches!

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