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

A road rises 6 m over a distance of 80 m. What is the gradient angle of the road?-example-1
User Jadar
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1 Answer

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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°.

User Jacob Goh
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