For this case we use the following definition:
sine (x) = (C.O) / (h)
Where,
x: angle
C.O: opposite leg
h: hypotenuse
Substituting values:
sine (C) = (C.O) / (h)
sine (C) = (AB) / (82)
We look for AB by Pythagorean theorem:
AB = root ((82) ^ 2 - (80) ^ 2)
AB = 18
Substituting:
sine (C) = (18) / (82)
Simplifying:
sine (C) = (9) / (41)
Answer:
the ratio is:
sine (C) = (9) / (41)
