An aceptabe slope for a stairway is 8 inches of rise for eac 12 inches of tread or run. A builder wants to build a house with a distance of 9 feet 6 inches between the first floor and second floor. How many linear feet of room will the stairway occupy on the first loor?
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OpenStudy (compassionate):
@Miracrown
OpenStudy (anonymous):
It was a little hard to visualize. I think this is what they mean
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OpenStudy (anonymous):
|dw:1440216070262:dw|
OpenStudy (compassionate):
I suppose they want a scale factor or something along those lines
OpenStudy (anonymous):
I think the height's 9.5 and they want the length.
and the triangles are similar so we can set up an equation
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Miracrown (miracrown):
Hi
OpenStudy (anonymous):
corresponding sides are proportional so
\[\frac{ 12 }{ x }=\frac{ 8 }{ 9.5 }\]
OpenStudy (compassionate):
So then we cross multiply and solve, right
OpenStudy (compassionate):
144 = 8x, x = 18
OpenStudy (anonymous):
12*9.5 = 114
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OpenStudy (compassionate):
right. Autism speaks. Don't know how I did that. Thanks a lot man!