If 1 m = 3.28 ft, then use dimensional analysis and the given information to convert 100 km to feet.
To convert 100 km to feet, we can use dimensional analysis as follows:
1 km = 1000 m (since 1 km is equal to 1000 meters)
1 m = 3.28 ft (given information)
So, the conversion factor from km to ft is:
(1000 m / 1 km) * (3.28 ft / 1 m) = 3280 ft
Therefore, 100 km is equal to 3280 ft.
To convert 100 km to feet using dimensional analysis, we will use the conversion factor 1 m = 3.28 ft.
Step 1: Start with the given value, 100 km.
Step 2: Write down the conversion factor as a fraction: (1 m / 3.28 ft).
Step 3: Cancel out the units, km, by multiplying it by the conversion factor. Since km is in the numerator, it will be canceled out by m in the denominator: (100 km * 1 m / 3.28 ft).
Step 4: Simplify the expression: (100 * 1 m / 3.28 ft).
Step 5: Multiply the numbers in the numerator: (100 * 1) = 100.
Step 6: Divide the numerator by the number in the denominator: 100 / 3.28.
Step 7: Calculate the result: 30.48.
Therefore, 100 km is equal to 30.48 ft.