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

The support reach approximately 11.34 feet up the wall.

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 = \frac{\text{Perpendicular}}{\text{Base}}\\\\\tan(80) = (AB)/(AC)\\\\5.6712=(AB)/(2)\\\\AB \approx 11.34`

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