A surveyor sights two signs and the angle between the two lines of sight measure 55°
use law of cosines.
To determine the relationship between the two signs, we need to define the angles formed by the lines of sight more clearly. It seems that the angle being referred to is the angle between the two lines of sight, also known as the vertical angle. Let's say the two signs are labeled A and B, and the angle between the lines of sight is ∠AOB, where O is the surveyor's position.
To find the relationship between the two signs, we need more information. The angle between the lines of sight alone is not sufficient. We can only determine if sign A is to the right or left of sign B based on the direction of the angle, but we can't determine the actual positions or distances between the signs without additional information like the distances from the surveyor to the signs or the angles of elevation of either sign.
If you have more information about the signs, please provide it so we can assist you further.