07. Who Cares About 53.13 Degrees?
Who Cares about 53.13 Degrees?
You just calculated the following values for a vehicle with a heading of 53.13 degrees
d " style="text-align:center;"> D | \delta_y " style="text-align:center;"> \Delta y | \delta_x " style="text-align:center;"> \Delta x |
---|---|---|
5 | 4 | 3 |
10 | 8 | 6 |
1 | 4/5 | 3/5 |
But really, for this particular angle we can say something much more general . We can say:
\Delta y = \frac{4}{5}\times D
\Delta x = \frac{3}{5}\times D
And these are very useful equations! They tell us that the vertical displacement is equal to total displacement times some multiplier (in this case ⅘). Likewise, horizontal displacement is total displacement times some other multiplier (in this case ⅗).
And this is useful…. for all those times when you're driving at 53.13 degrees?
What about every other possible angle ? Wouldn't it be nice to calculate these multipliers for any angle?