Can you please tell me how I go about working out the answer to this question?
A sprinter has to run a race over 100 feet (ft). How many metres is this? (Hint: You may need to use two conversion factors for this problem)
Thank you.
1 foot = 0.3048 meters
100 = ? meters
That is how I would have done it but the hint makes me think I should be taking a different approach.
To work out how many meters are in 100 feet, you would need to use conversion factors to convert between feet and meters. A conversion factor is a ratio that expresses the relationship between two different units of measurement.
In this case, you would need two conversion factors:
- One to convert feet to yards, since there are 3 feet in a yard.
- Another to convert yards to meters, since there are 0.9144 meters in a yard.
So, let's start by converting feet to yards:
- 100 feet * (1 yard / 3 feet) = 33.33 yards (rounded to two decimal places)
Now, we can convert yards to meters using the second conversion factor:
- 33.33 yards * (0.9144 meters / 1 yard) = 30.47 meters (rounded to two decimal places)
Therefore, the answer is approximately 30.47 meters.