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Trig

 May 1, 2019
 #1
avatar+106535 
+3

We can first use the Law of Sines

 

sin 60 / 9.2  = sin B '  / 10

 

10 sin 60 / 9.2  = sin B '        take the arcsin to find B '

 

arcsin  [ 10 sin 60 / 9.2 ]  = B '  ≈ 70.27°

 

But  B ' is obtuse so its true measure is   180 - 70.27 ≈ 109.73°

 

And since  the triangle on the left is isosceles  and the angle supplemental to 109.73°= 70.27°....then this will also be the measure of B

 

So

 

B = 70.27°   and B ' =  109.73°

 

 

cool cool cool

 May 1, 2019
edited by CPhill  May 1, 2019
 #2
avatar+315 
+1

Thank you!! smiley

Cupcake  May 1, 2019
 #3
avatar+106535 
+2

OK, Cupcake.....!!!!

 

cool cool cool

CPhill  May 1, 2019

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