An observation tower's shadow is 9 yards long, Not far away, a plum tree's shadow is 3 yards long, If the observation tower is 12 yards tall, how tall is the plum tree? Write your answer as a whole number or a decimal, Do not round,

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To determine the height of the plum tree, we can use the concept of similar triangles, assuming that both the observation tower and the plum tree are casting shadows under the same angle of the sun.

Given:

- **Height of the observation tower (H₁)** = 12 yards
- **Shadow of the observation tower (S₁)** = 9 yards
- **Shadow of the plum tree (S₂)** = 3 yards

Let **H₂** represent the height of the plum tree. The ratio of the height to the shadow length should be the same for both the tower and the tree:

$$
\frac{H₁}{S₁} = \frac{H₂}{S₂}
$$

Plugging in the known values:

$$
\frac{12}{9} = \frac{H₂}{3}
$$

Solving for $$ H₂ $$:

$$
H₂ = \frac{12}{9} \times 3 = \frac{4}{3} \times 3 = 4 \text{ yards}
$$

**Answer:**  
4
The plum tree is 4 yards tall.

An observation tower’s shadow is 9 yards long, Not far away, a plum tree’s shadow is 3 yards
long, If the observation tower is 12 yards tall, how tall is the plum tree?
Write your answer as a whole number or a decimal, Do not round,

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An observation tower’s shadow is 9 yards long, Not far away, a plum tree’s shadow is 3 yards long, If the observation tower is 12 yards tall, how tall is the plum tree? Write your answer as a whole number or a decimal, Do not round,