A marathon is a road race covering 26 miles and 385 yards. There are 5280 feet in amile, 3 feet in a yard and 3.3 feet in a meter. How many meters is this? (4.2x10^6m)
The answer is not 4.2 million meters, either. That would be a coast to coast race.
If you want an accurate answer, you'd better use the correct number of feet in a meter (3.28084), not 3.3.
26 miles 385 yards is 46145 yards or 138,435 feet. Divide that by the number of feet in a meter.
To calculate the distance in meters, we can follow these steps:
1. Convert miles to feet: Since there are 5280 feet in a mile, we can multiply 26 by 5280 to get the distance in feet.
- 26 miles = 26 * 5280 feet = 136,080 feet
2. Convert yards to feet: Since there are 3 feet in a yard, we can multiply 385 by 3 to get the distance in feet.
- 385 yards = 385 * 3 feet = 1,155 feet
3. Add the distances in feet together: Adding the distances calculated in step 1 and step 2 will give us the total distance in feet.
- Total distance in feet = 136,080 feet + 1,155 feet = 137,235 feet
4. Convert feet to meters: Since there are 3.3 feet in a meter, we can divide the total distance in feet by 3.3 to get the distance in meters.
- Total distance in meters ≈ 137,235 feet / 3.3 feet/meter ≈ 41,832.73 meters
Therefore, the marathon distance is approximately 41,832.73 meters, which we can round to 4.2 x 10^4 meters using scientific notation.