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What is the change in scale dimension when the original poll, measuring 40 m, is changed to 32 m using a scale factor of 8?

A) 2
B) 4
C) 6
D) 8

1 Answer

5 votes

Final answer:

The question appears to contain a mismatch between the provided dimensions and the given scale factor. Normally, a scale factor is used to derive the scaled size from the original size, but in this case, the provided scale factor of 8 does not match the change from 40 m to 32 m.

Step-by-step explanation:

When considering a change in scale dimension from 40 m to 32 m with a scale factor of 8, we can calculate the change. Since the original pole is 40 m and the scale factor provided doesn’t proportionally adjust to this change, there seems to be a misunderstanding in the question. Typically, a scale factor is applied to the original dimensions to determine the scaled dimensions, and here we have a mismatch between the scale factor and the given dimensions.

For a correct calculation, we should either know the scale factor that was used to reduce the original dimension of 40 m to 32 m, or we should calculate the new dimensions using the given scale factor of 8. However, it can be surmised that the scale factor to reduce a 40 m pole to 32 m is actually 0.8 (32 m divided by 40 m), or we could say a full-scale pole has been reduced by a factor of 1/8th its original size, if we were to divide the original size by the scale factor of 8.

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