Question A tree casts a 38 foot shadow at the same time a boy casts a 9 foot shadow. If the boy is 5.5 feet tall, how tall is the tree Round to the nearest tenth of o foot. Provide your answer below: feet

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UpStudy AI · Accepted Answer

Let the tree's height be $$ T $$ feet. Since the tree and the boy cast similar shadows, the ratios of their heights to the lengths of their shadows are equal:

$$
\frac{T}{38} = \frac{5.5}{9}
$$

Multiply both sides by 38 to solve for $$ T $$:

$$
T = \frac{5.5}{9} \times 38
$$

Calculate the product:

$$
5.5 \times 38 = 209
$$

Thus,

$$
T = \frac{209}{9} \approx 23.2222
$$

Rounded to the nearest tenth, the tree is approximately:

$$
T \approx 23.2 \text{ feet}
$$
The tree is approximately 23.2 feet tall.

Question A tree casts a 38 foot shadow at the same time a boy casts a 9 foot shadow. If the boy is 5.5 feet tall, how tall is the tree Round to the nearest tenth of o foot. Provide your answer below: feet

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