SOLUTION: Identify the angles of ΔXYZ in order from smallest to largest. http://my.thinkwell.com/questionbank/95001-96000/95661/img/238236.jpg

Algebra ->  Angles -> SOLUTION: Identify the angles of ΔXYZ in order from smallest to largest. http://my.thinkwell.com/questionbank/95001-96000/95661/img/238236.jpg      Log On


   

Question 935006: Identify the angles of ΔXYZ in order from smallest to largest.
http://my.thinkwell.com/questionbank/95001-96000/95661/img/238236.jpg
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the law of cosines,
9.5%5E2=8%5E2%2B7.5%5E2-2%288%29%287.5%29cos%28Z%29
-30=-120cos%28Z%29
cos%28Z%29=1%2F4
Z=75.5
Now use the law of sines to get X and Y.
9.5%2Fsin%2875.5%29=7.5%2Fsin%28X%29=8%2Fsin%28Y%29
9.5sin%28Y%29=8sin%2875.5%29
sin%28Y%29=0.8421%280.9681%29
sin%28Y%29=0.8152
Y=54.6
You can also use the sum of angles in a triangle to get Y.
75.5%2B54.6%2BY=180
Y=49.9