Question

In order to install the fence, Jordan needs brackets with an angle of x. Which equation can be used to find the angle measure and what is theangle measure rounded to the nearest tenth of a degree?

Answer 1

Given:

To get angle x, we use the trigonometric ratio of tangent.

`\begin{gathered} tan\theta=(opposite)/(adjacent) \\ \\ where; \\ \theta=x \\ opposite=4.25ft \\ adjacent=3ft \end{gathered}`

Hence,

`\begin{gathered} tan(x)=(4.25)/(3) \\ x=tan^(-1)((4.25)/(3)) \\ x=54.782^0 \\ \\ To\text{ the nearest tenth,} \\ x=54.8^0 \end{gathered}`