Graph the System $121 x ^ { 2 } + 225 y ^ { 2 } = 27,225$

question 18

Multiple Choice

Graph the system.
-A bridge has an arch in the shape of half an ellipse. If the equation of the ellipse, measured in feet, is $121 x ^ { 2 } + 225 y ^ { 2 } = 27,225$ , find the height of the arch from the road and the width of the arch.

• A) height: \(11 \mathrm { ft }\); width: \(30 \mathrm { ft }\)
• B) height: \(11 \mathrm { ft }\); width: \(15 \mathrm { ft }\)
• C) height: \(15 \mathrm { ft }\); width: \(22 \mathrm { ft }\)
• D) height: \(22 \mathrm { ft }\); width: \(30 \mathrm { ft }\)

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