Final answer:
The suspension cable from the roadway when you are 50 feet from the middle of the Golden Gate Bridge is approximately 1457.7 feet above the roadway.
Step-by-step explanation:
The equation given represents the relationship between the distance from the middle of the Golden Gate Bridge, denoted as x, and the height of the suspension cable, denoted as y. By substituting the value of x as 50 feet into the equation, we can find the distance of the cable from the roadway at that position.
x = √-220 / (0.010583) = -1457.7 feet
Since distance cannot be negative, the cable is approximately 1457.7 feet above the roadway when you are 50 feet from the middle of the bridge.