Question

MY LAST POST 50 POINTS

Answer 1

Answer:

tan C = 1.88

sin C = 0.88

cos C = 0.47

Step-by-step explanation:

Trig ratios:

$\sin(\theta)=\dfrac{O}{H} \ \ \ \ \cos(\theta)=\dfrac{A}{H} \ \ \ \ \tan(\theta)=\dfrac{O}{A}$

where $\theta$ 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

$\implies \tan(C)=\tan(Z)=\dfrac{25.5}{13.6}=1.88$

$\implies \sin(C)=\sin(Z)=\dfrac{25.5}{28.9}=0.88$

$\implies \cos(C)=\cos(Z)=\dfrac{13.6}{28.9}=0.47$