SOLUTION: An escalator in the subway system of St.Petersburg,Russia has a vertical rise of 195ft 9.5 in and rises at an angle of 10.4 degrees.how long is the escalator?

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Geometry -> SOLUTION: An escalator in the subway system of St.Petersburg,Russia has a vertical rise of 195ft 9.5 in and rises at an angle of 10.4 degrees.how long is the escalator?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 191207: An escalator in the subway system of St.Petersburg,Russia has a vertical rise of 195ft 9.5 in and rises at an angle of 10.4 degrees.how long is the escalator?
Answer by jojo14344(1512) About Me  (Show Source):
You can put this solution on YOUR website!


The problem forms a Right Triangle isn't it?

drawing%28400%2C400%2C-2%2C14%2C-2%2C6%2Cline%280%2C0%2C0%2C4%29%2Cline%280%2C4%2C-.2%2C4%29%2Cline%280%2C4%2C.2%2C4%29%2Cline%2812%2C0%2C0%2C0%29%2Cgreen%28line%2812%2C0%2C0%2C4%29%29%2Cred%28locate%288.7%2C.7%2C10.4%5Eo%29%29%2Clocate%28.1%2C3.5%2Cvertical%29%2Clocate%28.1%2C3.2%2Crise%29%2Cred%28locate%28.1%2C2.9%2C195ft%29%29%2Cred%28locate%280.1%2C2.6%2C9.5in%29%29%2Cgreen%28locate%286%2C2.8%2Cescalator%29%29%29

*Take note:
195ft and %289.5cross%28in%29%29%281ft%2F12cross%28in%29%29=0.7917ft

By Trigo Function:
sin%28sigma%29=opp%2Fhyp=vertical%2Fescalator
sin%2810.4%5Eo%29=195.7917ft%2Fescalator
escalator=195.7917%2Fsin%2810.4%5Eo%29=red%281084.6ft%29

Or, 1,084ft and %280.60cross%28ft%29%29%2812in%2F1cross%28ft%29%29=7.2 inches

Thank you,
Jojo