SOLUTION: Identify the values of the variables. Give your answers in simplest radical form. http://my.thinkwell.com/questionbank/95001-96000/95688/img/238255.jpg

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Question 935015: Identify the values of the variables. Give your answers in simplest radical form.
http://my.thinkwell.com/questionbank/95001-96000/95688/img/238255.jpg
Found 2 solutions by josgarithmetic, TimothyLamb:
Answer by josgarithmetic(39621) (Show Source):
You can put this solution on YOUR website!
SIMPLE TRIGONOMETRY AND CIRCULAR FUNCTIONS FOR COMMON REFERENCE ANGLES.

cos(30)=y/(sqrt(2)), sin(30)=x/sqrt(2) According to your picture.

Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website!
third angle = 180 - 90 - 30 = 60 degrees
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law of sines:
a/sinA = c/sinC
x/sin(30) = sqrt(2)/sin(90)
x = sqrt(2) * sin(30)/sin(90)
x = sqrt(2) * 0.5/1
x = sqrt(2)/2
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law of sines:
y/sin(60) = sqrt(2)/sin(90)
y = sqrt(2) * sin(60)/sin(90)
y = sqrt(2) * (sqrt(3)/2) / 1
y = sqrt(2) * sqrt(3) / 2
y = sqrt(6)/2
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