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Answer :
To determine the scale used in the picture:
1. Understand the measurements:
- The actual height of the flagpole is 42 feet.
- In the picture, the flagpole is represented as 2 inches tall.
2. Convert units:
- Convert the actual height from feet to inches because we're comparing it to the height in the picture, which is in inches.
- There are 12 inches in a foot. So, multiply the actual height in feet by 12 to get the height in inches:
[tex]\[
42 \text{ feet} \times 12 \text{ inches per foot} = 504 \text{ inches}
\][/tex]
3. Calculate the scale ratio:
- The scale is the ratio of the height in the picture to the actual height in the same units (both in inches now):
[tex]\[
\text{Scale} = \frac{\text{height in picture (inches)}}{\text{actual height (inches)}} = \frac{2 \text{ inches}}{504 \text{ inches}}
\][/tex]
4. Simplify the ratio:
- Calculate the value of this fraction to find the scale:
[tex]\[
\frac{2}{504} = 0.003968253968253968
\][/tex]
Therefore, the scale used in the picture is approximately 0.00397 (rounded to five decimal places). This means that 1 inch in the picture represents about 252 inches (or 21 feet) in actual height, since the reciprocal of 0.00397 gives you this conversion.
1. Understand the measurements:
- The actual height of the flagpole is 42 feet.
- In the picture, the flagpole is represented as 2 inches tall.
2. Convert units:
- Convert the actual height from feet to inches because we're comparing it to the height in the picture, which is in inches.
- There are 12 inches in a foot. So, multiply the actual height in feet by 12 to get the height in inches:
[tex]\[
42 \text{ feet} \times 12 \text{ inches per foot} = 504 \text{ inches}
\][/tex]
3. Calculate the scale ratio:
- The scale is the ratio of the height in the picture to the actual height in the same units (both in inches now):
[tex]\[
\text{Scale} = \frac{\text{height in picture (inches)}}{\text{actual height (inches)}} = \frac{2 \text{ inches}}{504 \text{ inches}}
\][/tex]
4. Simplify the ratio:
- Calculate the value of this fraction to find the scale:
[tex]\[
\frac{2}{504} = 0.003968253968253968
\][/tex]
Therefore, the scale used in the picture is approximately 0.00397 (rounded to five decimal places). This means that 1 inch in the picture represents about 252 inches (or 21 feet) in actual height, since the reciprocal of 0.00397 gives you this conversion.
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