Answer:
A = 22.6°
B = 67.4°
Step-by-step explanation:
Trigonometry:
[tex]S\frac{O}{H} C\frac{A}{H} T\frac{O}{A}[/tex]
Use Sine when you have the Opposite and the Hypotenuse.
Use Cos when you have the Adjacent and the Hypotenuse.
Use Tan when you have the Opposite and the Adjacent.
The Opposite is opposite the angle.
The Adjacent is next to the angle
The Hypotenuse is opposite the right angle.
Angle A:
Use Tan when you have the Opposite and the Adjacent.
Tan-1[tex]\frac{5}{12}[/tex] = 22.6198... ~ 22.6°
Angle B:
Use Tan when you have the Opposite and the Adjacent
Tan-1[tex]\frac{12}{5}[/tex] = 67.380... ~ 67.4°
22.6° + 67.4° + 90° = 180°
