Answer:
tan C = 1.88
sin C = 0.88
cos C = 0.47
Step-by-step explanation:
Trig ratios:
[tex]\sin(\theta)=\dfrac{O}{H} \ \ \ \ \cos(\theta)=\dfrac{A}{H} \ \ \ \ \tan(\theta)=\dfrac{O}{A}[/tex]
where [tex]\theta[/tex] is the angle, O is the side opposite the angle, A is the side adjacent the angle and H is the hypotenuse of a right triangle.
m∠C = m∠Z
[tex]\implies \tan(C)=\tan(Z)=\dfrac{25.5}{13.6}=1.88[/tex]
[tex]\implies \sin(C)=\sin(Z)=\dfrac{25.5}{28.9}=0.88[/tex]
[tex]\implies \cos(C)=\cos(Z)=\dfrac{13.6}{28.9}=0.47[/tex]
