Answer:
m∠C = 28.1°
Explanation:
angle m∠C has opposite angle of 16 and hypotenuse of 34
using sine rule:
[tex]\boxed{ sin(C) = \frac{opposite}{hypotenuse}}[/tex]
[tex]sin(C)=\frac{16}{34}[/tex]
[tex]C = sin^{-1}(\frac{16}{34} )[/tex]
C = 28.07248°
C = 28.1°
[tex]\\ \tt\Rrightarrow tanC=\dfrac{AB}{BC}[/tex]
[tex]\\ \tt\Rrightarrow tanC=\dfrac{16}{30}[/tex]
[tex]\\ \tt\Rrightarrow tanC=0.53[/tex]
[tex]\\ \tt\Rrightarrow C=tan^{-1}(0.53)[/tex]
[tex]\\ \tt\Rrightarrow C=27.92°[/tex]
