Question

Hi I need question 5 solved using SOH CAH TOA!

Answer 1

According to the trigonometric functions, we can see that angle x can be found through the one that involves the adjacent side and the hypotenuse, which in this case is the cos,

$cos(x)=\frac{27}{30}$

then, if we apply the inverse we can find the value of x,

$\begin{gathered} cos^{-1}(cos(x))=cos^{-1}(\frac{27}{30}) \\ x\cong25.8 \end{gathered}$

Answer:

$x\cong25.8$