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A train is traveling up slight grade with an angle of inclination of only 2 degrees. After traveling 1 mile, what is the vertical change in feet?

Verified Answer :

HomertheGenius

tan 2° = x / 1 mile,   where x is the vertical change
0.03492 = x / 1 mile
x = 1 mile · 0.03429 = 0.03492 miles
1 mile = 5,280 feet
0.03492 · 5,280 = 184.38 ft
Answer: The vertical change is 184.38 feet 

The vertical change is 184.38 feet.

What is the vertical change?

The rise between two points is known as the vertical change.

How to solve?

let x be the vertical change

tan 2° = \(\frac{x}{1miles }\)

\(x = tan 2\)°\(* 1 mile\)

we know tan 2° = 0.034921

Thus, x = 0.034921 miles

Since 1 mile = 5,280 feet

0.034921 miles = 0.034921 *  5,280 = 184.38 feet

vertical change is 184.38 feet.

To know more about vertical change visit:

https://brainly.com/question/2923891

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