The horizontal distance is 11.25 meters.
Step-by-step explanation:
Step 1:
The gradient of the given road is
. The gradient is the ratio of the difference in y values to the difference in x values.
In the given diagram, the difference in y values is given as 3 meters.
The difference in x values is given as x meters.
So if we substitute it with the gradient, we can determine the values of x.
Step 2:
The gradient,
by cross-multiplying we get
![x = (3)(\frac{15}{4} ) = \frac{45}{4} = 11.25.](https://tex.z-dn.net/?f=x%20%3D%20%283%29%28%5Cfrac%7B15%7D%7B4%7D%20%29%20%3D%20%5Cfrac%7B45%7D%7B4%7D%20%3D%2011.25.)
So the horizontal distance is 11.25 meters.