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Sholpan [36]
3 years ago
14

A railroad track rises 10 feet for every 400

Mathematics
1 answer:
Olin [163]3 years ago
3 0

Answer:

1.43 degrees

Step-by-step explanation:

Think of this as a triangle with an x (horizontal) value of 400 and a y (vertical) value of 10.

Using this train of thought, we can use SOHCAHTOA to find that the tan of some angle (we will use Ф to represent this angle) is equal to the opposite (vertical) value divided by the adjacent (horizontal) value.

As an equation, it looks like this: tan (Ф) = 10/400.

We can use the arctan to find Ф from this equation: arctan (10/400) = Ф

Therefore, Ф is about 1.43 degrees.

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