Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only)

Question

anonymous · Answer

attachment

anonymous · Answer

@ganeshie8 please help
@jdoe0001  please help

anonymous · Answer

I know I have to divide 12/13 but then what happens next? @ganeshie8

ganeshie8 · Answer

yes !

$\sin  (x) =   \dfrac{12}{13}$

ganeshie8 · Answer

$\implies x =  \arcsin \left(\dfrac{12}{13}\right)$

ganeshie8 · Answer

use ur calculator

anonymous · Answer

that's sin-1 right? like arcsin is sin-1

anonymous · Answer

So I am unsure of what arcsin may be

ganeshie8 · Answer

$\arcsin$  is just another name for $\sin^{-1}$

ganeshie8 · Answer

both are same

anonymous · Answer

Got it thanks! I got 67.38

ganeshie8 · Answer

$\huge \color{red}{\checkmark }$

ganeshie8 · Answer

Oh wait a second, we made a big mistake :/

anonymous · Answer

Yay, thank you! :) why do we use sin-1 instead of just sin(12/13)?

ganeshie8 · Answer

Look at the triangle once again, 12 is adjacent side right ?

anonymous · Answer

Yup

ganeshie8 · Answer

so which ratio do we need to use ?

anonymous · Answer

The SOH

anonymous · Answer

right

ganeshie8 · Answer

in SOH, 
O = Opposite

ganeshie8 · Answer

SOH will not work

anonymous · Answer

Oops I meant CAH

ganeshie8 · Answer

Yes !

ganeshie8 · Answer

$\color{red}{\cos } (x) =   \dfrac{12}{13}  $

anonymous · Answer

Mhm...

ganeshie8 · Answer

$\implies x=   \color{red}{\arccos }\left( \dfrac{12}{13}\right)  $

ganeshie8 · Answer

anonymous · Answer

Oh I see what you mean!!! Thank you!

ganeshie8 · Answer

np :) $ x = 22.62^{\circ }$ is the fnal correct answer

anonymous · Answer

yay! (: