Question

MY LAST POST 50 POINTS

Answer 1

tan C = 1.88

sin C = 0.88

cos C = 0.47

Explanation:

Trig ratios:

`\sin(\theta)=(O)/(H) \ \ \ \ \cos(\theta)=(A)/(H) \ \ \ \ \tan(\theta)=(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)=(25.5)/(13.6)=1.88`

`\implies \sin(C)=\sin(Z)=(25.5)/(28.9)=0.88`

`\implies \cos(C)=\cos(Z)=(13.6)/(28.9)=0.47`