Certainly! Let's break down the problem step-by-step:
1. Understand the Given Data:
- We have a free throw range that spans 4.57 meters.
- This range is divided into 1000 pixels.
2. Calculate the Length of One Pixel:
- To find the length of one pixel in meters, we need to divide the total length by the number of pixels.
- Formula: [tex]\[ \text{Length of one pixel} = \frac{\text{Free throw range}}{\text{Number of pixels}} \][/tex]
3. Plug in the Given Values:
- Free throw range: 4.57 meters
- Number of pixels: 1000
- Calculation: [tex]\[ \text{Length of one pixel} = \frac{4.57 \text{ meters}}{1000} \][/tex]
- This gives: [tex]\[ \text{Length of one pixel} = 0.00457 \text{ meters} \][/tex]
4. Record the Length to 4 Decimal Places:
- We're asked to record this length to 4 decimal places.
- So, 0.00457 meters rounded to 4 decimal places is 0.0046 meters.
Therefore, the length of one pixel in meters is [tex]\(0.00457\)[/tex] meters, and when recorded to 4 decimal places, it is [tex]\(0.0046\)[/tex] meters.
