Question

FIND X

Answer 1

x is an angle.

The side `opposite` angle x is the one with measure 5.
The side `adjacent` to angle x is the one of length 8.

Hmmm, can you think of which trig function relates our Opposite and Adjacent sides?

Answer 2

@zepdrix tangent i think

Answer 3

\[\Large\bf\sf \tan x\quad=\quad \frac{opposite}{adjacent}\quad=\quad \frac{5}{8}\]Ok good! We've got our relationship set up.

Answer 4

\[\Large\bf\sf \tan\color{orangered}{x}\quad=\quad \color{royalblue}{\frac{5}{8}}\]We'll want to apply the inverse function in order to solve for x.
The inverse function will be the same, but with the orange and blue terms `swapped`.

\[\Large\bf\sf \tan^{-1}\color{royalblue}{\frac{5}{8}}\quad=\quad \color{orangered}{x}\]

Answer 5

@zepdrix x=32 ???

Answer 6

And is your answer that you got in degrees or radians?

Answer 7

Since we're using the `inverse` function, it doesn't matter whether we're in degrees or radians.

We'd prefer to be in degrees though.
I just wanna make sure you know which mode you're in. :)

Answer 8

@zepdrix ok but is the answer right?

Answer 9

32 is correct if you meant degrees...
You didn't specify if it was degrees or radians.
That's what I was asking you...

Answer 10

@zepdrix oh yeah its degrees