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Consider a triangle where A = 30° a = 1.3cm b = 0.6cm.

Use the law of sines to find sin(B). Round the answer to 2 decimal places.

Deathstroke_rule  Apr 25, 2017
edited by Deathstroke_rule  Apr 25, 2017
edited by Deathstroke_rule  Apr 25, 2017
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+1

 

sin B / b  =  sin A / a

 

sin B  /  .6   =   sin (30) / 1.3       multiply by .6 on both sides

 

sin B   =  (.6 / 1.3) sin (30)

 

sin B  =  (.6 / 1.3) (1/2)

 

sin B  =  (.3 / 1.3)       take the sine inverse

 

arcsin (.3 / 1.3)  = B   ≈  13.34° 

 

 

cool cool cool

CPhill  Apr 25, 2017

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