Question

Suspension cable on a bridge that’s parabola shape. The towers are 900 ft apart and they reach 100 ft from the road if the cables reach a minimum of 10 ft above the road between the 2 towers determine the height of the cable at 50 ft

Answer 1

let the vertex of the parabola be at (0,10). Then its equation is
y = ax^2 + 10
You know that y(450)=100
so find a, and then get y(50)