Respuesta :

Answer:

3/5 or 0.6

Step-by-step explanation:

SINE= Opposite/Hypotenuse

TAN = opposite/adjacent

COSINE = Adjacent/hypotenuse

From diagram;

Adjacent = 12

Hypotenuse = unknown

Using Pythagorean theorem to find hypotenuse;

Hyp^2 = Opp^2 + Adj^2

Hyp^2 = 16^2 + 12^2

Hyp^2 = 256+144

Hyp^2= 400

Hyp = 20

Cosine ratio of Z = 12/20= 0.6

The cosine ratio of Z is 0.6.

The following information should be considered:

  • SINE= Opposite ÷ Hypotenuse .
  • TAN = opposite ÷ adjacent .
  • COSINE = Adjacent ÷ hypotenuse .
  • Adjacent = 12.

Now based on the above information we use the Pythagorean theorem

Hyp^2 = Opp^2 + Adj^2

Hyp^2 = 16^2 + 12^2

Hyp^2 = 256+144

Hyp^2= 400

Hyp = 20

Now  

Cosine ratio of Z should be

= 12 ÷ 20

= 0.6

Therefore we can conclude that the cosine ratio of Z is 0.6.

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