Hello, Jonboy!
A cross-section of an irrigation canal is a parabola.
If the surface of the water is 40 feet wide and the canal is 35 feet deep at the center,
how deep is it 10 feet from the edge? I must assume that the canal is full of water.
The cross-section can be graphed like this: Code:
|
*- - - - - + - - - - -*(20,35)
::::::::::|::::::::::
*:::::::::|:::::::::*
*::::::::|::::::::*
*::::::|::::::*
*:::|:::*
- - - - - * - - - - - - -
| The equation of this parabola is: . 
Since (20,35) is on the curve: .  \quad\Rightarrow\quad a \:=\:\tfrac{7}{80})
And the equation is: . 
When  \quad\Rightarrow\quad y \:=\:\tfrac{35}{4})
And the depth of the water is: . 
LinkBack URL
About LinkBacks