Question

Olve for xx. Round to the nearest tenth of a degree, if necessary

Answer 1

x = 36.3°

Step-by-step explanation:

Taking into account the figure, we know that the opposite side of angle x is 3.9 and the adjacent side is 5.3, then using tangent, we get

`\begin{gathered} \tan x=(Opposite)/(Adjacent) \\ \tan x=(3.9)/(5.3) \\ \tan x=0.75 \end{gathered}`

Then, we can solve for x using the inverse function of tangent

`\begin{gathered} x=\tan ^(-1)(0.75) \\ x=36.3\degree \end{gathered}`

So, x = 36.3°