A trail that is 1-half mile long has 4 equally spaced signs along the trail.

If the trail is 1-half mile long, it means it is 1/2 mile long or 0.5 miles long.

Since there are 4 equally spaced signs along the trail, we can divide the trail into 4 equal segments.

To find the length of each segment, we divide the total length of the trail by the number of segments:
Length of each segment = Total length of the trail / Number of segments
Length of each segment = 0.5 miles / 4
Length of each segment = 0.125 miles

Therefore, each segment of the trail is 0.125 miles long.