Hi, MlleSim and f6pafd,
If an adjective is used in the predicate, it can be a subject or an object complement depending on whether it refers to the subject (the brook runs parallel to the road) or to the object (raise the arm horizontal to the floor).
"Horizontally" would also be correct to refer to the manner of raising the arm, rather than to the position the arm acquires after being raised (here "horizontal" has a resultative meaning). However, from a logical point of view, one cannot raise one's arm horizontally as one can raise a beam lying on the floor horizontally until it reaches an upper position, because the arm is not originally in a horizontal position.

Even so, there are several examples at GB of an arm being moved in a horizontal way, for example this one taken from a book identified as "Army Volume 29":
