Question

A temporary support for an architectural feature is positioned 2 feet away from the wall and forms an 80* angle with the ground. How far up the wall does the support reach ?

Answer 1

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

$\angle ACB = 80^\circ$

We have to find AB.

We know that

$\tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}\\\\\tan(80) = \dfrac{AB}{AC}\\\\5.6712=\dfrac{AB}{2}\\\\AB \approx 11.34$

Thus, the support reach approximately 11.34 feet up the wall.