Without Trig, Your House Would Be Lopsided: Response

Finding the angle of elevation:
tanx=11/18

tan^-1(11/18)=x

x=31.430 degrees

So, the angle of elevation is 31.430 degrees.

Pitch, grade, and slope are all the same values on the triangle. This is also the hypotenuse value. All of these terms are showing the steepness or incline of the hypotenuse of the given triangle.

Tangent is also related to pitch, slope, and grade because you use tangent to find the angle of elevation, which is used to find the pitch. Also, when you use tangent, you are taking the tangent of the slope.

The total rise is 22 inches because, for every 18 feet horizontally, there is 11 feet vertically. Looking at the image, there are 2, 18 ft. horizontal runs, so that means that you multiply 11 x 2, to get 22 in.

The full length of the rafter line is found using the equation L=sqaure root of (1.8) squared + (22) squared. This gives us L=22.074 ft. which is the full length of the rafter line.