Question

a surveyor measured the road frontage of a parcel of land and obtained a distance of 11.5 ft. based on this result, the distance must be between what two values? the distance must be at least ft.

Explanation:

Step1: Understand measurement precision

When a measurement is given as 11.5 ft, the precision is to the tenths place. The lower bound (minimum value) is found by subtracting 0.05 from the measured value, and the upper bound is adding 0.05. But for the "at least" (lower bound), we calculate the minimum value the measurement could represent.
The formula for the lower bound of a measurement with one decimal place (tenths) is: measured value - 0.05.
So, for 11.5 ft, the lower bound is $11.5 - 0.05$.

Step2: Calculate the lower bound

$11.5 - 0.05 = 11.45$

Answer:

11.45