Question

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?

Answer 1

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 

Answer 2

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.

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