SOLUTION: The New River Gorge Bridge in West Virginia is the second longest steel arch bridge in the world. Its height above the ground, in feet, at a point x feet from the arch's center is

Question 1029552: The New River Gorge Bridge in West Virginia is the second longest steel arch bridge in the world. Its height above the ground, in feet, at a point x feet from the arch's center is
(a) What is the height of the top of the arch?
The height of the arch is ____ feet.
(b) What is the span of the arch at a height of 525 feet above the ground?
Round your answer to the nearest integer.
The span of the arch is ____ feet.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The general form is:

The given equation is:

---------------
(a)
The formula for the x-value of the vertex is:

If you plug this back into the given equation,
you get

, the height at the top of the arch
---------------
(b)
Given:

and

The span of the arch at is

1,076 ft span
---------------
Here's the plot of the arch:

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