Mathematics · Challenge

1/4
Gradient of a lineRunning
Coordinate navigator. Fall over the run at 1.288 m. Run implied 51.52 m, Actual run 24 m. Currently run implied is over by 27.52 m.TUNING1.288 M
t = 0.0s

Run implied

51.52m

Actual run

24m

1.288 m

Coordinate navigator. Fall over the run at 1.288 m. Run implied 51.52 m, Actual run 24 m. Currently run implied is over by 27.52 m.

What has to balancem=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}

What is happening

You take control of a surveyor setting the fall on a drainage run.

The drain will not fall to code. The run covers 24 m horizontally, the code demands a gradient of 0.025, and the fall pegged at the far end does not match.