The horizontal distance is 11.25 meters.
Step-by-step explanation:
Step 1:
The gradient of the given road is [tex]\frac{4}{15}[/tex]. 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, [tex]\frac{4}{15} = \frac{3}{x},[/tex] by cross-multiplying we get
[tex]x = (3)(\frac{15}{4} ) = \frac{45}{4} = 11.25.[/tex]
So the horizontal distance is 11.25 meters.
