Answer
$[h-58.6]\leq 0.05$
Work Step by Step
The height is measured to be $58.6$ ft.
This number falls under the range $58.55\leq h\lt 58.65$, as if we assume $58.6$ has been rounded to 3 significant figures, its error interval will be $58.55\leq h\lt 58.65$.
$58.65$ is the upper bound in the range, as that is the max value which will round to $58.6$, so we will take this as the value for $h$ in the inequality.
Therefore, $[h-58.6]$ will always be equal to or smaller than $[58.65-58.6]$, which = $0.05$
Hence, $[h-58.6]\leq 0.05$
