Final answer:
The true distance between points A and B is approximately 545.67 ft. This situation involves the concept of a linear scale error. The tape's certified standard length differs from its actual length. To find the "true" distance between points A and B, you can use the ratio of the certified length of the tape to the actual length of the tape.
Step-by-step explanation:
To find the true distance between points A and B, we can use the concept of proportionality. Let's call the true distance x. We can set up a proportion using the measurements given: 100 ft is to 100.02 ft as 545.67 ft is to x. Using the cross-product property of proportions, we can multiply the extremes and set them equal to the product of the means: 100 * x = 545.67 * 100.02. Simplifying the equation, we find that the true distance between A and B is approximately 545.67 ft. Note that the difference between the certified standard length and the measured length is negligible in this case.
This situation involves the concept of a linear scale error. This situation involves the concept of a linear scale error. The tape's certified standard length differs from its actual length. To find the "true" distance between points A and B, you can use the ratio of the certified length of the tape to the actual length of the tape. The tape's certified standard length differs from its actual length. To find the "true" distance between points A and B, you can use the ratio of the certified length of the tape to the actual length of the tape.
Learn more about Finding the true distance between two points