SOLUTION: A large pillar has a cross section in the shape of hyperbola. The curves can be modeled by the equation x^2/25 - y^2/100 =1
The pillar is 225 meters all
a. Find the widt
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Question 1170419: A large pillar has a cross section in the shape of hyperbola. The curves can be modeled by the equation x^2/25 - y^2/100 =1
The pillar is 225 meters all
a. Find the width at the narrowest point in the middle
b. Find the width of the top of the pillar
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
a. The narrowest point occurs when the hyperbola crosses the x-axis,
i.e. y= 0. Setting y=0, we have x^2 = 25 -> x = +-5.
Thus the width = 10
b. Set y = 225 and solve for x:
x^2/25 = 1 + 225^2/100 -> x = +-112.61 -> width = 225.22
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