A Semielliptical Arch Over a Tunnel for a One-Way Road $\frac { x ^ { 2 } } { 144 } - \frac { y ^ { 2 } } { 729 } = 1$

Multiple Choice

A semielliptical arch over a tunnel for a one-way road through a mountain has a major axis of 54 feet and a height at the center of 12 feet.Find an equation of the semielliptical arch.

A) $\frac { x ^ { 2 } } { 144 } - \frac { y ^ { 2 } } { 729 } = 1$
B) $\frac { x ^ { 2 } } { 729 } - \frac { y ^ { 2 } } { 144 } = 1$
C) $\frac { x ^ { 2 } } { 729 } + \frac { y ^ { 2 } } { 144 } = 1$
D) $\frac { x ^ { 2 } } { 54 } + \frac { y ^ { 2 } } { 729 } = 1$
E) $\frac { x ^ { 2 } } { 144 } + \frac { y ^ { 2 } } { 729 } = 1$