The escalator at st. petersburg metro in russia has a vertical rise of 195.8 feet. if the angle of elevation of the escalator is , find the length of the escalator.

The solution would be like this for this specific problem:

Given:

195.8 feet = vertical rise of escalator

sin 10°21'36" = angle of elevation of the escalator:

Find:

Length of the escalator = ?

So:

vertical rise of escalator / length of escalator = sin 10°21'36" 

length of escalator = vertical rise of escalator / sin 10°21'36" 
= 195.8 / 0.1798 = 1088.79 feet

Therefore. The escalator at St. Petersburg metro in Russia is 1088.79 feet.

To add, the underground railway system in Saint Petersburg and Leningrad Oblast, Russia is called the Saint Petersburg Metro. The railway system has been open since 15 November 1955.

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