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

1 Answer
Jun 2, 2016

Slope = #9.5/19.32 = 475/966#

Angle of inclination = #26.2°#

Explanation:

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°#