Respuesta :
Answer:
[tex]0.16km[/tex]
Step-by-step explanation:
A highway engineer wants to compute the change in elevation of a section of road. The horizontal distance of this section of road is 2km and downgrade is 8%
The slope formula is given by
[tex]m=\frac{rise}{run}=\frac{x}{y}[/tex]
m = 8% = 8/100
run = y = 2km
[tex]m =\frac{x}{y}[/tex]
[tex]\frac{8}{100} =\frac{x}{2}[/tex]
[tex]\frac{2*8}{100} =x[/tex]
[tex]x=\frac{16}{100} =0.16km[/tex]
Verification:
[tex]m=\frac{0.16}{2}= 0.08=8%[/tex]%
Answer: ∆h = 0.16km = 160m
The Change in elevation is 0.16km
Step-by-step explanation:
Given:
Change in elevation m= 8% = 0.08
Which means for every 100 units change in horizontal distance there would be 8 units change in elevation.
Horizontal distance of road x= 2km
Using the equation;
∆h = mx
Where ∆h = change in elevation
∆h = 0.08 × 2km
∆h = 0.16km = 160m
