# Railway

Railway line had on 5.8 km segment climb 9 permille. How many meters track ascent?

Result

x =  52.198 m

#### Solution:

$\tan \alpha = 9/1000 \ \\ \alpha = \arctan 9/1000 = 0^\circ 32" \ \\ \ \\ x = 5800 \sin \alpha = 52.198 \ \text{m}$

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