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The steepest part of the Mt. Washington Cog Railway in New Hampshire has an exceptional​ 37.1% grade. Along this part of the​ track, the seats in the front of the car are 14 ft. above those in the back of the car. About how far apart are the front and rear rows of​ seats?

 Jan 12, 2017
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We can use the sine...we have

 

sin θ  =  14 / d     where d is the distance between the seats

 

And  θ  =   arctan (.371)  ≈  20.35°

 

So

 

sin  ( 20.35° )  = 14 / d      rearrange

 

d =  14  /  sin (20.35°) ≈  40.258 ft

 

 

cool cool cool

 Jan 12, 2017

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