Answer:
[tex]\text{B. }12.6[/tex]
Step-by-step explanation:
The cut the construction worker makes forms two right triangles. Therefore, we can use the Pythagorean theorem to solve this problem:
The Pythagorean theorem states that for any right triangle, the following is true: [tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle and [tex]c[/tex] is the hypotenuse.
[tex]a^2+b^2=c^2,\\12^2+4^2=c^2,\\c^2=160,\\c\approx \boxed{\text{B. }12.6}[/tex]
