Solve the Problem $28 \mathrm { ft }$ And the Vertical Clearance Must Be

question 89

Multiple Choice

Solve the problem.
-A railroad tunnel is shaped like a semiellipse. The height of the tunnel at the center is $28 \mathrm { ft }$ and the vertical clearance must be $26 \mathrm { ft }$ at a point $18 \mathrm { ft }$ from the center. Find an equation for the ellipse.

• A) \(\frac { x ^ { 2 } } { 2352 } + \frac { y ^ { 2 } } { 676 } = 1\)
• B) \(\frac { x ^ { 2 } } { 784 } + \frac { y ^ { 2 } } { 2352 } = 1\)
• C) \(\frac { x ^ { 2 } } { 324 } + \frac { y ^ { 2 } } { 784 } = 1\)
• D) \(\frac { x ^ { 2 } } { 2352 } + \frac { y ^ { 2 } } { 784 } = 1\)

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