Answer:
The support reach approximately 11.34 feet up the wall.
Step-by-step explanation:
We are given the following in the question:
The attached image shows the structure.
AC = 2 feet
[tex]\angle ACB = 80^\circ[/tex]
We have to find AB.
We know that
[tex]\tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}\\\\\tan(80) = \dfrac{AB}{AC}\\\\5.6712=\dfrac{AB}{2}\\\\AB \approx 11.34[/tex]
Thus, the support reach approximately 11.34 feet up the wall.