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

Jun 2, 2016

Slope = $\frac{9.5}{19.32} = \frac{475}{966}$

Angle of inclination = 26.2°

#### Explanation:

Slope is defined as the $\text{vertical displacement"/"horizontal displacement}$

Both of these have been given.

Slope = $\frac{9.5}{19.32} = \frac{475}{966}$

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.

$T a n x = \frac{9.5}{19.32} = 0.491718 \ldots$

Angle of inclination = 26.2°