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What is the scale factor from the cliff in the drawing to the actual cliff? The scale factor is \( \square \) 7 8 9 © \( \square \) Actual Lighthouse

Ask by Lyons George. in the United States
Jan 23,2025

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Answer

To find the scale factor, divide the actual cliff measurement by the drawing measurement. If the actual height is 72 meters and the drawing height is 8 meters, the scale factor is 9.

Solution

To determine the scale factor from the cliff in the drawing to the actual cliff, we'll need specific measurements from both the drawing and the real-life cliff. The scale factor is calculated using the following formula: \[ \text{Scale Factor} = \frac{\text{Actual Size}}{\text{Drawing Size}} \] **Here's what you'll need:** 1. **Actual Measurement:** The real-life height, width, or any other relevant dimension of the cliff. 2. **Drawing Measurement:** The corresponding measurement of the cliff in the drawing. **Example Calculation:** Suppose: - The actual height of the cliff is **72 meters**. - The height of the cliff in the drawing is **8 meters**. Then, the scale factor would be: \[ \text{Scale Factor} = \frac{72 \text{ meters}}{8 \text{ meters}} = 9 \] **Given Your Options:** - 7 - 8 - 9 If, for instance, using the measurements above, the scale factor is **9**, then the correct option would be **9**. **Next Steps:** 1. **Measure the Actual Cliff:** Obtain the real measurements of the cliff you’re referencing. 2. **Measure the Cliff in the Drawing:** Determine the corresponding measurements in the drawing. 3. **Apply the Scale Factor Formula:** Use the formula above to calculate the scale factor. If you provide the specific measurements from both the drawing and the actual cliff, I can help you calculate the exact scale factor.

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Bonus Knowledge

The scale factor is the ratio of a dimension in the drawing to the corresponding actual dimension. If your drawing shows the cliff as a certain length (let’s say 1 inch), you would find out how many actual inches this represents. For example, if that 1 inch in the drawing corresponds to an actual cliff height of 8 inches, the scale factor would be \( 1:8 \) or simply 8. Fun fact: scale factors are crucial in architecture and design, helping architects create precise models! When using scale factors, a common mistake is assuming they apply uniformly across different dimensions. Always double-check that each measurement follows the same scale, especially if you're working with multi-dimensional shapes. An easy tip? Set up a table that converts each measurement in the drawing to the actual size—it’s like your cheat sheet for perfection!

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