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Which expression will help you find the measure of angle R?




 

A) R=arc sin3.5/6.2 cm

B) sin  R/6.2cm= sin70degrees/3.5cm 

C)(3.5cm)(sin R)=(6.2cm)(sin70degrees)

D) sin R/3.5=sin 70degrees/6.2cm
 Oct 7, 2014

Best Answer 

 #2
avatar+23254 
+5

Since you don't have a right triangle, you can't use just sin, cos, or tan

Either use the Law of Cosines (if you have SAS or SSS) or otherwise use the Law of Sines.

Since you don't have either SAS or SSS, use the Law of Sines.

   sin(R) / r  =  sin(Q) / q                           

   sin(R) / 3.5  =  sin(70°) /6.2                       

This is as far as you have to go, but you could finish it:

   sin(R)  =   sin(70°) /6.2 x 3.5

     R  =  invSin(  sin(70°) /6.2 x 3.5 )

 Oct 7, 2014
 #1
avatar+130477 
+5

Hey, Tori...... it's "D"......the Law of Sines says:

Sine of an angle/ It's opposite side = Sine of another angle/It's opposite side

 

 Oct 7, 2014
 #2
avatar+23254 
+5
Best Answer

Since you don't have a right triangle, you can't use just sin, cos, or tan

Either use the Law of Cosines (if you have SAS or SSS) or otherwise use the Law of Sines.

Since you don't have either SAS or SSS, use the Law of Sines.

   sin(R) / r  =  sin(Q) / q                           

   sin(R) / 3.5  =  sin(70°) /6.2                       

This is as far as you have to go, but you could finish it:

   sin(R)  =   sin(70°) /6.2 x 3.5

     R  =  invSin(  sin(70°) /6.2 x 3.5 )

geno3141 Oct 7, 2014

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