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.

Question

anonymous · Answer

|dw:1345035117022:dw|

anonymous · Answer

introduce a coordinate axis, then this will not be so bad
we have a parabola with vertex $(0,5)$ and $x$ intercepts at $(-10,0)$ and $(10,0)$ 
once we find the equation for the parabola we can replace $x$ by $4$ to answer the question

anonymous · Answer

are  you good from there or do you need more help to find the equation for the parabola?

anonymous · Answer

thanks..thanks for the graph

anonymous · Answer

so you are good from here then right?

anonymous · Answer

do you want to solve it? its up to you

anonymous · Answer

can you help me to solve it?