A building is 2 ft from an 11-ft fence that surrounds the property. A worker
wants to wash a window in the building
16 ft from the ground. He plans to
place a ladder over the fence so it rests
against the building.
He decides he should place the ladder
7 At from the fence for stability. To the
nearest tenth of a foot, how long a
ladder will he need?

19.42 ft

Step-by-step explanation:

c^2 = a^2 + b^2

c^2 = 16^2 + 11^2

c^2 = 256 + 121

c = √377 = 19.416

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)

answer: the answer for that is 22/3