Given:
Note that:
- hyp: Hypotenuse
- adj: Adjacent
To find:
The size of the unknown angle "x"
Solution:
We'll have to check which one is appropriate from SOHCAHTOA.
In this question hypotenuse and adjacent is given so, we'll have to use cos.
[tex]\large\boxed{Formula: cos \: (A)= \frac{adj}{hyp}}[/tex]
Let's solve!
Let's substitute the values according to the formula.
[tex]cos \: x= \frac{8}{11}[/tex]
We'll have to use cos inverse.
[tex]x= {cos}^{-1}( \frac{8}{11} )[/tex]
[tex]x= 43.34175823[/tex]
Now we'll have to round off to 1 decimal place.
The value in hundredths place is less than 5 so we won't have to round up.
So, the final answer is:
[tex]\large\boxed{x= 43.3°}[/tex]
Therefore, the size of the unknown angle "x" is 43.3°
