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.
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highschoolmom2010
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|dw:1376247934662:dw|
highschoolmom2010
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we know
hyp=x
opposite =2349.5
ganeshie8
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keep going, you have it !
highschoolmom2010
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SOH CAH COA
so we use sin
ganeshie8
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yes !
highschoolmom2010
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\[(x)*\sin10.4=\frac{ 2349.5 }{ x }*(x)\]
\[\frac{ xsin10.4 }{\sin 10.4 }=\frac{ 2349.5}{\sin 10.4 }\]
\[x=\frac{ 2349.5 }{ \sin 10.4}\]
\[x \approx 1085'\]
highschoolmom2010
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that doesnt look right
ganeshie8
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1085 foot is correct ! good job !!
ganeshie8
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*feet
highschoolmom2010
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hooray t just didnt look right
ganeshie8
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you're becoming extremely effecient at trig rations ;) good :D
jdoe0001
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ahemm, wasn't 2349.5 in inches?
highschoolmom2010
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i converted it back to feet
highschoolmom2010
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bc the question wanted it in feet
jdoe0001
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I see, you have a good footing|dw:1376249504657:dw|
highschoolmom2010
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@jdoe0001 wow i see what you did there