Respuesta :

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,

[tex]\tan \theta=\frac{rise}{run}[/tex][tex]\theta=2\degree25^{\prime}=2+\frac{25}{60}=2.4167\degree[/tex]

So,

[tex]\begin{gathered} \tan 2.4167=\frac{rise}{6900} \\ \\ \text{rise}=6900\cdot\tan 2.4167=291.21 \end{gathered}[/tex]

The answer rounded to the nearest hundredth.

So, the answer will be Rise = 291.21 feet.

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