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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.

  • 8 months ago
  • 8 months ago

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  1. highschoolmom2010
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    |dw:1376247934662:dw|

    • 8 months ago
  2. highschoolmom2010
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    we know hyp=x opposite =2349.5

    • 8 months ago
  3. ganeshie8
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    keep going, you have it !

    • 8 months ago
  4. highschoolmom2010
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    SOH CAH COA so we use sin

    • 8 months ago
  5. ganeshie8
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    yes !

    • 8 months ago
  6. highschoolmom2010
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    \[(x)*\sin10.4=\frac{ 2349.5 }{ x }*(x)\] \[\frac{ xsin10.4 }{\sin 10.4 }=\frac{ 2349.5}{\sin 10.4 }\] \[x=\frac{ 2349.5 }{ \sin 10.4}\] \[x \approx 1085'\]

    • 8 months ago
  7. highschoolmom2010
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    that doesnt look right

    • 8 months ago
  8. ganeshie8
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    1085 foot is correct ! good job !!

    • 8 months ago
  9. ganeshie8
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    *feet

    • 8 months ago
  10. highschoolmom2010
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    hooray t just didnt look right

    • 8 months ago
  11. ganeshie8
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    you're becoming extremely effecient at trig rations ;) good :D

    • 8 months ago
  12. jdoe0001
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    ahemm, wasn't 2349.5 in inches?

    • 8 months ago
  13. highschoolmom2010
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    i converted it back to feet

    • 8 months ago
  14. highschoolmom2010
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    bc the question wanted it in feet

    • 8 months ago
  15. jdoe0001
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    I see, you have a good footing|dw:1376249504657:dw|

    • 8 months ago
  16. highschoolmom2010
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    @jdoe0001 wow i see what you did there

    • 8 months ago
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