SOLUTION: What is the sin(ϴ) if x=6 and y=12

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Question 224142: What is the sin(ϴ) if x=6 and y=12
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
What is the sin(ϴ) if x=6 and y=12

Draw this

Since sin(ϴ)%22%22=+y%2Fr, we must find r by the
Pythagorean theorem:
r%5E2=x%5E2%2By%5E2
r%5E2=6%5E2%2B12%5E2
r%5E2=36%2B144
r%5E2=180
r=sqrt%28180%29
r=sqrt%2836%2A5%29
r=sqrt%2836%29sqrt%285%29
r=6sqrt%285%29
So
sin(ϴ)