# Railways

Railways climb 7.4 ‰.

Calculate the height difference between two points on the railway distant 3539 meters.

Correct result:

y =  26.19 m

#### Solution:

$3539^2 = x^2+y^2 \ \\ \dfrac{ y }{ x } = \dfrac{ 7.4 }{1000} \ \\ y = \dfrac{ 3539 }{ \sqrt{ 1+(\dfrac{ 1000 }{ 7.4 })^2 }} = 26.19 \ \text{m}$

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