A Nuclear Cooling Tower Cross Section Is a Hyperbola Having $\frac { x ^ { 2 } } { 784 } - \frac { y ^ { 2 } } { 1716 } = 1$

Multiple Choice

A nuclear cooling tower cross section is a hyperbola having a diameter of 56 ft at the center. The distance between the two foci is 100 ft. What is the equation for the hyperbola?

A) $\frac { x ^ { 2 } } { 784 } - \frac { y ^ { 2 } } { 1716 } = 1$
B) $\frac { x ^ { 2 } } { 784 } - \frac { y ^ { 2 } } { 2500 } = 1$
C) $\frac { x ^ { 2 } } { 784 } - \frac { y ^ { 2 } } { 1718 } = 1$
D) $\frac { x ^ { 2 } } { 784 } - \frac { y ^ { 2 } } { 1716 } = 5$