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Answered

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Sagot :

semsee45

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]

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