High School

A distance of 100.545 ft is measured by a survey crew. The true distance is known to be 100.5 ft. What is the relative accuracy?

A. 1:3200
B. 1:4500
C. 1:2200
D. 1:7300

Answer :

Final answer:

The relative accuracy of the measured distance to the true distance is closest to 1:2200.

Explanation:

In mathematics, relative accuracy can be calculated by taking the absolute value of the difference between the measured value and the true value, divided by the true value, then multiplied by a certain factor to convert it into a ratio.

In this case, to find the relative accuracy, we first look at the difference between the measured distance (100.545 ft) and the true distance (100.5 ft). This results in 0.045 ft.

Then, we divide 0.045 by the true distance (100.5 ft), resulting in 0.00044776119402985076. To represent this as a ratio, we take its reciprocal, which gives us approximately 2235 to the nearest whole number. None of the given options match this number exactly, but the closest option is 1:2200.

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