## highschoolmom2010 2 years ago 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.

1. highschoolmom2010

|dw:1376247934662:dw|

2. highschoolmom2010

we know hyp=x opposite =2349.5

3. ganeshie8

keep going, you have it !

4. highschoolmom2010

SOH CAH COA so we use sin

5. ganeshie8

yes !

6. highschoolmom2010

$(x)*\sin10.4=\frac{ 2349.5 }{ x }*(x)$ $\frac{ xsin10.4 }{\sin 10.4 }=\frac{ 2349.5}{\sin 10.4 }$ $x=\frac{ 2349.5 }{ \sin 10.4}$ $x \approx 1085'$

7. highschoolmom2010

that doesnt look right

8. ganeshie8

1085 foot is correct ! good job !!

9. ganeshie8

*feet

10. highschoolmom2010

hooray t just didnt look right

11. ganeshie8

you're becoming extremely effecient at trig rations ;) good :D

12. jdoe0001

ahemm, wasn't 2349.5 in inches?

13. highschoolmom2010

i converted it back to feet

14. highschoolmom2010

bc the question wanted it in feet

15. jdoe0001

I see, you have a good footing|dw:1376249504657:dw|

16. highschoolmom2010

@jdoe0001 wow i see what you did there