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SLOPE
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What is SLOPE and why is it important?
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Slope is a ratio that compares….
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The chance in a vertical distance
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To the change in a horizontal distance
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Slope is referred to as an equation
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Slope M =
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EXAMPLE
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If we have a line that has a rise of 12” and a run of 8”, what is the slope?
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Using the formula M =
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M =
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REDUCE TO LOWEST TERMS
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M = 12 ÷ ÷ 4
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M =
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The slope is therefore 3 2
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In other words
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For every 3” of rise
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3”
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There is a horizontal run of 2”
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3” 2”
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This becomes relevant in the calculation of Roof Pitch
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Example
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If a roof rises 8’ over a distance of 18’, what is the slope or pitch?
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First, use the formula
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M = 8 18
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REDUCE TO SIMPLEST TERMS
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M = 8 ÷ 2 18 ÷ 2
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M = 4 9
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So for every 4’ of rise
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4’
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There is a horizontal run of 9’
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4’ 9’
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To convert to a common PITCH…
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We need to convert the denominator to 12
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As this is a ratio we need to cross multiply and divide by the lone soldier
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4 = x 9 12
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Therefore
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A 4 pitch is the same as a 5
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4’ 5.3 9’ 12
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Look Familiar?
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Questions?
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