What is the value of a ? (Round your answer to the nearest degree .)

Answer:
a = 32.28°
Step-by-step explanation:
In the given right triangle,
Opposite side = 12
Adjacent side = 19
By applying tangent rule in the given triangle,
tan(a°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(a°) = [tex]\frac{12}{19}[/tex]
a = [tex]\text{tan}^{-1}(\frac{12}{19})[/tex]
a = 32.28°