find the measure of the angle marked with a? Using inverse trig functions. Round your answer to the nearest degree. part 3

Answer:
The unknown angle =
27°
Note :
SOH = Sin angle = Opposite/hypotenuse
CAH = Cos angle = Adjacent/Hypotenuse
TOA = Tan angle = Opposite/Adjacent
Answer:
[tex]\theta \approx 27.5\º[/tex]
Step-by-step explanation:
Once
[tex]$\sin(\theta) = \dfrac{\text{Opposite}}{\text{hypotenuse}} =\frac{12}{26}=\frac{6}{13} $[/tex]
And
[tex]\arcsin \left(\dfrac{6}{13} \right)=\theta[/tex]
[tex]\theta \approx 27.5\º[/tex]