Pregunta
Joey found that an elm tree that is 8 feet tall casts a shadow 15 feet long. Then Joey noticed
that a jungle gym nearby casts a shadow 30 feet long. How tall is the jungle gym?
Write your answer as a whole number or a decimal. Do not round.
that a jungle gym nearby casts a shadow 30 feet long. How tall is the jungle gym?
Write your answer as a whole number or a decimal. Do not round.
Ask by Perkins Patel. in the United States
Jan 23,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The jungle gym is 16 feet tall.
Solución

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Respondido por UpStudy AI y revisado por un tutor profesional
Como
The Deep Dive
To solve this, we can use the concept of similar triangles. The height of the elm tree and its shadow can be set up in a proportion with the jungle gym and its shadow.
If we denote the height of the jungle gym as “h”, we can set up the ratio as follows:
Cross-multiplying gives us:
This simplifies to:
Now, divide both sides by 15:
Thus, the height of the jungle gym is 16 feet.

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