A Nuclear Cooling Tower Cross Section Is a Hyperbola Having $\frac { x ^ { 2 } } { 676 } - \frac { y ^ { 2 } } { 1628 } = 5$

Multiple Choice

A nuclear cooling tower cross section is a hyperbola having a diameter of 52 ft at the center. The distance between the two foci is 96 ft. What is the equation for the hyperbola?

A) $\frac { x ^ { 2 } } { 676 } - \frac { y ^ { 2 } } { 1628 } = 5$
B) $\frac { x ^ { 2 } } { 676 } - \frac { y ^ { 2 } } { 1628 } = 1$
C) $\frac { x ^ { 2 } } { 676 } - \frac { y ^ { 2 } } { 2304 } = 1$
D) $\frac { x ^ { 2 } } { 676 } - \frac { y ^ { 2 } } { 1630 } = 1$