Answer:
A = 58.7 degrees
B = 66.9 degrees
C = 34.1 degrees
Step-by-step explanation:
For <A:
Tan A = [tex]\frac{opposite}{adjacent}[/tex]
Tan A = [tex]\frac{23}{14}[/tex]
Tan A = 1.6
A = [tex]Tan^{-1} 1.6[/tex]
A = 58.7 degrees
For <B:
Sin B = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin B = [tex]\frac{23}{25}[/tex]
Sin B = 0.92
B = [tex]Sin^{-1} 0.92[/tex]
B = 66.9 degrees
For <C:
Sin C = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin C = [tex]\frac{14}{25}[/tex]
Sin C = 0.56
C = [tex]Sin^{-1}0.56[/tex]
C = 34.1 degrees
