Question

the design layout of a hyoerbolic chamber

The design layout of a hyperbolic cooling tower is shown below. The tower stands 167.082 meters tall. The diameter of the top is 60 meters. At their closest, the sides of the tower are 40 meters apart. Between the narrowest part and the top, there are 67.082 meters. Find the equation of the hyperbola that models the sides of the cooling tower. Assumer that the center of the hyperbola is the origin of the coordinate plane. Round final values to four decimal places 67.082 m 167082 m Equation of the hyperbola: Preview

Answer 1

Equation of hyperbola is ga = 40 a 20 a 400 At x = 30m, 45 67.08@ oy. 03 (30)2 (67.082) 900 1= (67.082) 400 400 82 62 7 674 (57.082) = 3599.99512 400 3599.99578