SOLUTION: How do you use angles to find the missing lengths of a triangle? I know that there angles of a triangle are 20,70,90 and that the length of the leg adjacent to the 70 angle that i

Algebra ->  Trigonometry-basics -> SOLUTION: How do you use angles to find the missing lengths of a triangle? I know that there angles of a triangle are 20,70,90 and that the length of the leg adjacent to the 70 angle that i      Log On


   

Question 1054527: How do you use angles to find the missing lengths of a triangle?
I know that there angles of a triangle are 20,70,90 and that the length of the leg adjacent to the 70 angle that isn't a hypotenuse is 30. How do I find the length of the other two lengths? I tried using the law of sines but maybe i did something wrong because i ended up with 29.377336 and 25.43057.
Thanks in advance.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
By definition,
sin%2820%29=30%2FH
H=30%2Fsin%2820%29
H=87.7
So then the other leg is,
Hcos%2820%29=87.7%280.9397%29=82.4