Brad measured the length of an object to be [tex]\(2.1 \times 10^4\)[/tex] cm. Let’s convert this measurement to a more common unit of length, such as meters.
[tex]\[
2.1 \times 10^4 \, \text{cm} = 21000 \, \text{cm}
\][/tex]
Since there are 100 cm in a meter, we convert centimeters to meters:
[tex]\[
21000 \, \text{cm} \div 100 = 210 \, \text{meters}
\][/tex]
Now let's evaluate the plausibility of each item being approximately 210 meters long.
1. Length of a city block
- City blocks can vary in size, but they are often around 100 to 200 meters long.
- Since 210 meters is within this range, a city block could be this length.
- Plausible.
2. Length of a city park
- City parks can be quite large, often extending several hundred meters in various directions.
- A length of 210 meters fits well within the range for the length of a city park.
- Plausible.
3. Height of a person
- The average height of a person is around 1.5 to 2 meters.
- 210 meters is far too long to be the height of a person.
- Not plausible.
4. Distance across a city
- Cities can span several kilometers across.
- 210 meters could easily be a small part of the distance across a city or one particular segment of it.
- Plausible.
5. Height of an apple tree
- Apple trees typically reach heights of around 5 to 10 meters.
- 210 meters is far too tall for an apple tree.
- Not plausible.
6. Width of a screen in a theater
- Screens in theaters are generally around 10 to 30 meters wide.
- 210 meters is far too wide for a theater screen.
- Not plausible.
7. Depth of water in a swimming pool
- Swimming pools typically have depths ranging from about 2 to 5 meters.
- 210 meters is far too deep for a swimming pool.
- Not plausible.
Summarizing, the items that could plausibly have been measured at 210 meters are:
- Length of a city block
- Length of a city park
- Distance across a city
