A roof rises 9.5 ft over a horizontal distance of 19.32 ft. What is the slope of the roof?

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Answer 1 · 2016-06-02T22:52:12

Slope = $9.5/19.32 = 475/966$

Angle of inclination = $26.2°$

Slope is defined as the $"vertical displacement"/"horizontal displacement"$

Both of these have been given.

Slope = $9.5/19.32 = 475/966$

As this is a really awkward fraction it might be more practical to give the slope of this roof as its inclination from the horizontal.

$Tan x = 9.5/19.32 = 0.491718...$

Angle of inclination = $26.2°$