highschoolmom2010
  • highschoolmom2010
An escalator in the subway station has a vertical rise of 195 ft 9.5 in., and rises at an angle of 10.4 degrees. How long is the escalator? Round to the nearest foot.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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highschoolmom2010
  • highschoolmom2010
|dw:1376247934662:dw|
highschoolmom2010
  • highschoolmom2010
we know hyp=x opposite =2349.5
ganeshie8
  • ganeshie8
keep going, you have it !

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highschoolmom2010
  • highschoolmom2010
SOH CAH COA so we use sin
ganeshie8
  • ganeshie8
yes !
highschoolmom2010
  • highschoolmom2010
\[(x)*\sin10.4=\frac{ 2349.5 }{ x }*(x)\] \[\frac{ xsin10.4 }{\sin 10.4 }=\frac{ 2349.5}{\sin 10.4 }\] \[x=\frac{ 2349.5 }{ \sin 10.4}\] \[x \approx 1085'\]
highschoolmom2010
  • highschoolmom2010
that doesnt look right
ganeshie8
  • ganeshie8
1085 foot is correct ! good job !!
ganeshie8
  • ganeshie8
*feet
highschoolmom2010
  • highschoolmom2010
hooray t just didnt look right
ganeshie8
  • ganeshie8
you're becoming extremely effecient at trig rations ;) good :D
jdoe0001
  • jdoe0001
ahemm, wasn't 2349.5 in inches?
highschoolmom2010
  • highschoolmom2010
i converted it back to feet
highschoolmom2010
  • highschoolmom2010
bc the question wanted it in feet
jdoe0001
  • jdoe0001
I see, you have a good footing|dw:1376249504657:dw|
highschoolmom2010
  • highschoolmom2010
@jdoe0001 wow i see what you did there

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