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

Algebra ->  Algebra  -> Angles -> SOLUTION: What is the sin(ϴ) if x=6 and y=12      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 224142: What is the sin(ϴ) if x=6 and y=12
Answer by Edwin McCravy(8893) 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)%27%27=+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)