Solve the Problem $\frac { x ^ { 2 } } { 576 } - \frac { ( y - 83 ) ^ { 2 } } { 2,304 } = 1$

question 35

Multiple Choice

Solve the problem.
-The cross section of a cooling tower of a nuclear power plant is in the shape of a hyperbola, and can be modeled by the equation $\frac { x ^ { 2 } } { 576 } - \frac { ( y - 83 ) ^ { 2 } } { 2,304 } = 1$ where x and y are measured in meters. The base of the tower is located at y = 0, and the top of the
Tower is 110 m above the base. Determine the diameter of the tower at the top. Round to the nearest
Meter.

• A) 55 m
• B) 48 m
• C) 28 m
• D) 96 m

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