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Question 1167416: The tower stands 180 meters tall. The diameter of the top is 75 meters. At their closest, the sides of the tower are 60 meters apart. Find the equation of the hyperbola that models the sides of the cooling tower. Assume that the center of the hyperbola is the origin. Round of final answer to the nearest whole number.
Answer by ikleyn(52786)   (Show Source):
You can put this solution on YOUR website! .
The tower stands 180 meters tall. The diameter of the top is 75 meters. At their closest,
the sides of the tower are 60 meters apart. Find the equation of the hyperbola that models
the sides of the cooling tower. Assume that the center of the hyperbola is the origin.
Round of final answer to the nearest whole number.
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The problem in the post is posed INCORRECTLY.
In the form as it is presented in the post, the problem CAN NOT be solved,
since the given input information is not sufficient.
As the problem is presented, it is clear that the problem's creator is absolutely
(i.e. TOTALLY) illiterate in the subject.
In this form, this task is simply a misunderstanding,
and its appearance on the forum is an unfortunate accident.
In order for the equation of a hyperbola could be restored, the positions (= the coordinates)
of its three points should be given. But in this post, this info is not provided.
It could be solved, if the height of the narrowest part be given; but this info is MISSED in the problem.
The lowest possible score to the problem's creator for his or her unsatisfactory job.
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