The pitch of the roof on a building needs to be 3/14. If the building is 38 ft wide, how long must the rafters be?

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Answer 1 · 2018-04-07T06:14:09

#19.39# feet

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Let's look at the drawing of the roof:

enter image source here

#CD=38# feet

#("Pitch")=Slope=3/14#

#tantheta=3/14#

#theta=arctan(3/14)=12.1^@#

#(AB)/(BC)=3/14#

#BC=(CD)/2=38/2=19#

#AB=(3(BC))/14=(3(19))/14=57/14# feet

#Rafter=AC=(BC)/costheta=19/cos(12.1^@)=19/0.98=19.39# feet

The pitch of the roof on a building needs to be 3/14. If the building is 38 ft​ wide, how long must the rafters​ be?