a
[tex]sin(51^o) = \frac{y}{hypotenuse} \to \ y=sin(51^o)*12 \approx 9.33 \ units[/tex]
b
[tex]sin \theta= \frac{opposite}{hypotenuse}= \frac{12}{13} \approx 0.9231 \ \to \ m \angle \theta \approx67.38^o[/tex]
с
[tex]tan(13^o)=\frac{opposite}{adjacent}= \frac{x}{24} \ \to \ x= tan(13^o)*24\approx5.54 \ units [/tex]
d
[tex]sin(20^o) = \frac{opposite}{x} = \frac{10}{x} \to \ x= \frac{10}{sin(20^o)} \approx29.24 \ units[/tex]
