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- anonymous

b) A gigantic gate to the entrance of a theme park in the shape of a parabola is constructed on a level ground. The horizontal distance between the end points of the gigantic gate is 20 meters. The maximum height of the gigantic gate from the ground is 5 meters. Calculate the height of the gigantic gate at a horizontal distance of 4 meters from one of the end points.

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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- anonymous

- katieb

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- anonymous

|dw:1328420898983:dw|

- anonymous

is this the representation?

- anonymous

|dw:1328420962037:dw|

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- anonymous

i sketch it something like this. don't know either its correct or wrong.

- anonymous

the given is from one of it's endpoints, therefor it's on the ground.

- anonymous

ok, then how to find the vertical line ?

- dumbcow

equation for such a parabola is:
y =( -1/20)x^2 + 5
where vertex at (0,5) and endpoints at (+-10,0)
4 away from endpoints is at x = +-6
y = (-1/20)(6^2) +5
y = -36/20 + 5
y = 64/20
y = 16/5

- anonymous

please explain more details about this..

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