Answer:

the height of the arch 10 feet from the center is 24 feet
Step-by-step explanation:
An arch is in the shape of a parabola. It has a span of 100 feet, the vertex lies at the center 50 and the maximum height of 25 ft.
Vertex at (50,25)
vertex form of the equation is
, (h,k) is the center

the parabola starts at (0,0) that is (x,y)

subtract 25 from both sides


divide both sides by 2500


the height of the arch 10 feet from the center.
center is at 50, 10 feet from the center so x=40 and x=60

y=24
the height of the arch 10 feet from the center is 24 feet