document.write( "Question 607298: A vertical cross section of a cooling tower is a portion of a hyperbola. The standard form of the equation of the hyperbolic cross section is x^2/80^2 - (y-240)^2/160^2 = 1 , 0 less than or equal to y less than or equal to 380 Where x and y are measured in feet. The horizontal cross sections of the tower are circles. What is the smallest radius of a horizontal cross section. Round to the nearest foot. \n" ); document.write( "

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A vertical cross section of a cooling tower is a portion of a hyperbola. The standard form of the equation of the hyperbolic cross section is x^2/80^2 - (y-240)^2/160^2 = 1 , 0 less than or equal to y less than or equal to 380 Where x and y are measured in feet. The horizontal cross sections of the tower are circles. What is the smallest radius of a horizontal cross section. Round to the nearest foot.
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\n" ); document.write( "x^2/80^2 - (y-240)^2/160^2 = 1
\n" ); document.write( "Base of tower at origin, (0,0)
\n" ); document.write( "The smallest radius or diameter horizontal cross-section of the tower is at the center (0,240) of the hyperbola.
\n" ); document.write( "The diameter=length of the transverse axis=160
\n" ); document.write( "The y-coordinate of the center (240 ft) is within the given range of 0 ≤ y ≤ 380
\n" ); document.write( "Smallest radius of a horizontal cross section=80 ft \n" ); document.write( "

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