Final answer:
The horizontal distance between Station 26+42.59 and Station 57+75.36 on the highway construction plans is 62.77 meters.
Step-by-step explanation:
To find the horizontal distance between station 26+42.59 and Station 57+75.36, we need to subtract the easting (horizontal distance) coordinates of the two stations. Station 57+75.36 is further east than Station 26+42.59, so we subtract:
57+75.36 m - 26+42.59 m = 56 m - 26 m + 75.36 m - 42.59 m = 30 m + 32.77 m = 62.77 m
Therefore, the horizontal distance between the two stations is 62.77 meters.