SOLUTION
This question can be solved by applying the trigonometry ratio principle (SOHCAHTOA)
Step 1: State the given
Opposite side = 4
Hypotenuse side = 12
Step 2: State the trigonometry ratio that will be used to solve for angle A.
[tex]\sin A=\frac{\text{opposite side}}{hypotenuse\text{ side}}[/tex]
Step 3: Substitute the given into the ratio and solve for A.
[tex]\begin{gathered} \sin A=\frac{4}{12} \\ \sin A=0.33333 \\ A=\sin ^{-1}(0.33333) \end{gathered}[/tex][tex]A=19.47\text{ degrees}[/tex]
The answer is D.
