By using a hyperbolic structure for the cooling towers of the nuclear reactors, engineers can construct a tower to withstand high winds by using the least amount of the material. In the figure, a hyperbolic cooling tower is shown with the values of base diameter, least diameter, and the diameter at the top equal to 300 feet, 100 feet, and 200 feet respectively. The eccentricity of the hyperbolic structure is equal to 2

What is the height of the cooling tower of the nuclear reactor?