Question 1153485
A flagpole, cable, and  the distance from the base of the pole form right triangle where  a flagpole and the distance from the base of the pole are legs of the triangle, and the length of the cable is hypothenuse

given:
a flagpole has a height of {{{16 }}}yards
three cables, each of which is attached to the flagpole at a point of {{{4}}} yards below the top of the pole, so now a part of flagpole which is one leg of the right triangle has a height  of {{{12 }}}yards (the length of the leg of the triangle)
cable is ached to the ground at a point that is {{{9}}} yards from the base of the pole, so the other leg is {{{9}}} yards

use Pythagorean theorem to find the length of the one cable {{{c}}}:

{{{c^2=12^2+9^2}}}

{{{c^2=144+81}}}

{{{c^2=225}}}

{{{c=sqrt(225)}}}

{{{c=15}}}yards

since we have three cables, total length will be {{{3*15=45}}}yards