Answer:
The length of the ladder is 25.1ft
Step-by-step explanation:
We are given
Height of the building = 21.125ft = a (let)
On forming a triangle we have the height of the building as 'a'
It says that the base of a ladder should be 1 foot away from a building for every 3.25 feet of building height.
so for 21.125ft of height of building = 21.125/3.5 = 6.5ft
we need the base of the ladder to be at 6.5ft away from the building on the ground.
Let 6.5ft = b
Now we have the height of the building 'a' and the base distance of the ladder from the building 'b'
Applying Pythagoreans theorem
[tex]\sqrt{a^2 + b^2} =c^2[/tex] where c represents the ladder length
on substituting the values of a and b
we get c= 22.1ft
but the ladder is 3ft longer than the edge of the roof
so final length of the ladder = 22.1 +3 = 25.1ft
