(Solved): Suppose that a natural draft cooling tower has the cross section below (a hyperbola). Suppose the t ...

Suppose that a natural draft cooling tower has the cross section below (a hyperbola). Suppose the tower is 450 feet wide at the base, 270 feet wide at the top, and 220 feet at its narrowest point (which occurs 335 feet above the ground.) Determine the height of the tower to the nearest foot. (Please round to one decimal place at least)