Answer:
(a) 1/22; (b) 1.36'; (c) yes
Step-by-step explanation:
(a)
The slope m is calculated the following way:
m = Δy/Δx
where Δy is the y variation and Δx is the x variation. In the first figure attached we can see that Δy = 1'' and Δx = 22'', therefore m = 1/22 = 0.045
(b)
Rearranging slope definition:
Δy = m * Δx
Here Δx is 30' (see 2nd figure). Replacing:
Δy = 1/12 * 30' = 1.36'
Note: m is an adimensional number, so it doesn't matter if Δx is in feet or inches as long as Δx is in the same units.
(c)
First we need to transform 25'' to feet before we can use the data in the equation (see 3rd figure).
25'' * 1'/12'' = 2.083'
From slope definition:
m = Δy/Δx = 2.083'/45' = 0.046 > 0.045
Every slope bigger than 1/22 will be satisfactory
