SOLUTION: Which of the following values is closest to ZY? http://imgur.com/4W4hXO4 30 cm 34 cm 40 cm 68 cm What is the measure of AngleA to t

Algebra ->  Angles -> SOLUTION: Which of the following values is closest to ZY? http://imgur.com/4W4hXO4 30 cm 34 cm 40 cm 68 cm What is the measure of AngleA to t      Log On


   

Question 877341: Which of the following values is closest to ZY?
http://imgur.com/4W4hXO4
30 cm
34 cm
40 cm
68 cm



What is the measure of AngleA to the nearest degree?
http://i.imgur.com/RFDfGQT.png
19°
34°
64°
127°
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Hard to know if ZY is closer to 30 or to 34. One of those. To be more sure, use Law of Sines.

ZY%2Fsin%2855%29=40%2Fsin%2875%29
ZY=40%28sin%2855%29%29%2F%28sin%2875%29%29 ---- the sines and the angles go in the same order direction, so this value is difficult to judge. Computing gives ZY=40%280.81915%2F0.96523%29

The Angle A question uses Law of Cosines. Fitting the images values directly into the law's equation, 8%5E2%2B20%5E2-2%2A8%2A20%2Acos%28A%29=14.1%5E2.
You solve for A!