1 Answer

Mercutio · Answer 1 · 2023-10-31T16:34:13+0000

Given the road has a slope of 2° 25'

We will find the rise in 6900 feet of horizontal run.

Let the angle of rising = θ

So,

$\tan \theta=(rise)/(run)$
$\theta=2\degree25^(\prime)=2+(25)/(60)=2.4167\degree$

So,

$\begin{gathered} \tan 2.4167=(rise)/(6900) \\ \\ \text{rise}=6900\cdot\tan 2.4167=291.21 \end{gathered}$

The answer rounded to the nearest hundredth.

So, the answer will be Rise = 291.21 feet.

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