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1. What is the measure of x? 

2. What is the value of g?

Guest Apr 14, 2017
 #1
avatar+88899 
+2

We are using The Law of Sines here

 

sinx / 38   = sin35 / 22      multiply both sides by 38

 

sin x   =   (38/22)sin35

 

Take the sine inverse

 

arcsin [   (38/22)sin35 ]   = x  ≈  82.2°

 

 

For the second one, we have

 

g / sin (74)  =  54/sin (58)      multiply both sides by sin(74)

 

g  = sin(74)* 58 / sin (58)   ≈  65.7

 

 

cool cool cool

CPhill  Apr 14, 2017
 #2
avatar+7266 
+2

I think you accidently wrote 58 instead of 54 on the very last line.

 

g  = sin(74) * 54 / sin (58)

 

So..  g ≈ 61.2      smileysmiley

hectictar  Apr 14, 2017
 #3
avatar+88899 
+1

Oops.....thanks, hectictar, for catching my error....!!!

 

 

 

cool cool cool

CPhill  Apr 14, 2017

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