Question

Find x. Round your answer to the nearest tenth of a degree. 0 Х 47 X X 22

Answer 1

With respect to the angle x, we have

opposite side (47)

adjacent side (22)

Which trig ratio relates "opposite" and "adjacent".

It is tan!

Thus,

we can write

$\tan x=\frac{47}{22}$

We can take the inverse tan of (47/22) to find x. Shown below:

$\begin{gathered} \tan x=\frac{47}{22} \\ x=\tan ^{-1}(\frac{47}{22}) \\ x=64.92\degree \end{gathered}$Answer$x=64.92\degree$