Question

A road rises 6 m over a distance of 80 m. What is the gradient angle of the road?

Answer 1

Step-by-step explanation

From the statement, we know that the road:

• rises Δy = 6 m,

,

• over a distance Δx = 80 m.

The slope of the road (m) and gradient angle (θ) are given by:

`m=\tan(θ)=(\Delta y)/(\Delta x)\Rightarrowθ=\tan^(-1)((\Delta y)/(\Delta x))`

Replacing the data of the problem, we get:

`\theta=\tan^(-1)((6m)/(80m))\cong4.289\degree.`Answer

The gradient angle of the road is approximately 4.289°.