Unit Conversion
1. The problem asks to convert the marathon distance from kilometers to miles.
Given:
Distance in km = 42.195
Conversion factor: 1 mile = 1.6093 km
To convert km to miles, use the formula:
$$\text{distance in miles} = \frac{\text{distance in km}}{\text{km per mile}} = \frac{42.195}{1.6093}$$
Calculate:
$$\frac{42.195}{1.6093} \approx 26.2187$$
Answer: The marathon distance in miles is approximately **26.22 miles**.
2. The problem asks to find the length of one piece of wood in feet after cutting a 132.5-meter tree into 10 equal pieces.
Given:
Height in meters = 132.5
Number of pieces = 10
Conversion factor: 1 meter = 3.2808 feet
First, find the length of one piece in meters:
$$\frac{132.5}{10} = 13.25 \text{ meters}$$
Convert 13.25 meters to feet:
$$13.25 \times 3.2808 = 43.4726 \text{ feet}$$
Answer: One piece of wood is approximately **43.47 feet** long.