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

question 407

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) \(\frac { x ^ { 2 } } { 144 } + \frac { y ^ { 2 } } { 729 } = 1\)

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