Question

A highway engineer specifies that a certain section of roadway covering a horizontal distance of 2km should have a downgrade of 8%. Compute the change in elevation of this section of road. Use the slope formula.

Answer 1

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

Answer 2

Answer:

$0.16km$

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

$m=\frac{rise}{run}=\frac{x}{y}$

m = 8% = 8/100

run = y = 2km

$m =\frac{x}{y}$

$\frac{8}{100} =\frac{x}{2}$

$\frac{2*8}{100} =x$

$x=\frac{16}{100} =0.16km$

Verification:

$m=\frac{0.16}{2}= 0.08=8%$%