To determine the distance the catapult threw the rock in meters, we need to convert the given distance from yards to meters through a series of steps.
1. Understand the given units and conversion factors:
- Jordan measured the distance in yards.
- 1 yard is equal to 3 feet.
- 1 foot is equal to 0.3048 meters.
2. Convert the distance from yards to feet:
- Given distance: 8 yards.
- Since 1 yard = 3 feet, we multiply the distance in yards by 3 to convert it to feet.
[tex]\[
8 \text{ yards} \times 3 \text{ feet per yard} = 24 \text{ feet}
\][/tex]
3. Convert the distance from feet to meters:
- We now have the distance as 24 feet.
- Using the conversion factor of 1 foot = 0.3048 meters, we multiply the distance in feet by 0.3048 to convert it to meters.
[tex]\[
24 \text{ feet} \times 0.3048 \text{ meters per foot} = 7.3152 \text{ meters}
\][/tex]
4. Round the result to the nearest tenth:
- The unrounded distance in meters is 7.3152 meters.
- To round to the nearest tenth, we look at the hundredths place (1 in this case), which tells us to keep the tenths place as it is.
[tex]\[
7.3152 \text{ meters} \approx 7.3 \text{ meters}
\][/tex]
Therefore, the catapult threw the rock approximately [tex]\( 7.3 \)[/tex] meters. The rounded distance is:
The catapult threw the rock [tex]\(\boxed{7.3}\)[/tex] meters.
