Eiffel Tower is 324 m high. What would be the height of a miniature
which bears a ratio of `1: 4000` with the tower ?

Answer

To find the height of a miniature of the Eiffel Tower that is in a ratio of 1:4000 with the actual tower, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Ratio**: The ratio 1:4000 means that for every 1 unit of height in the miniature, there are 4000 units of height in the actual Eiffel Tower.

2. **Identify the Height of the Eiffel Tower**: The height of the Eiffel Tower is given as 324 meters.

3. **Set Up the Proportion**: We can express the height of the miniature (let's call it 'h') in relation to the height of the Eiffel Tower using the ratio:
\[ \frac{h}{324} = \frac{1}{4000} \]

4. **Cross-Multiply to Solve for 'h'**:
\[ h \times 4000 = 1 \times 324 \]
\[ h \times 4000 = 324 \]

5. **Isolate 'h'**:
\[ h = \frac{324}{4000} \]

6. **Calculate 'h'**:
\[ h = 0.081 \text{ meters} \]

7. **Convert to Centimeters**: Since 1 meter = 100 centimeters, we convert the height from meters to centimeters:
\[ h = 0.081 \times 100 = 8.1 \text{ centimeters} \]

### Final Answer:
The height of the miniature Eiffel Tower is **8.1 centimeters**.

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