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.

Question

UpStudy AI · Accepted Answer

To determine the height of the jungle gym, we can use the concept of similar triangles. The ratio of the height of an object to the length of its shadow remains constant when the sun's angle is the same for both objects.

Given:
- Height of the elm tree = 8 feet
- Shadow of the elm tree = 15 feet
- Shadow of the jungle gym = 30 feet

Let's denote the height of the jungle gym as $$ h $$.

Using the ratio:
$$
\frac{\text{Height of elm tree}}{\text{Shadow of elm tree}} = \frac{\text{Height of jungle gym}}{\text{Shadow of jungle gym}}
$$
$$
\frac{8}{15} = \frac{h}{30}
$$

Solving for $$ h $$:
$$
h = \frac{8 \times 30}{15} = \frac{240}{15} = 16
$$

**Answer:**  
16
The jungle gym is 16 feet tall.

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.

Upstudy AI Solution

Answer

Solution

The Deep Dive

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Latest Geometry Questions

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.

Upstudy AI Solution

Answer

Solution

The Deep Dive

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Latest Geometry Questions

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.