SOLUTION: Solve using the Law of Sines and a scaled drawing. If two triangles exist, solve both completely. side a = 30.6 yd A = 30° side c = 61.2 yd

Algebra ->  Triangles -> SOLUTION: Solve using the Law of Sines and a scaled drawing. If two triangles exist, solve both completely. side a = 30.6 yd A = 30° side c = 61.2 yd      Log On


   



Question 1080835: Solve using the Law of Sines and a scaled drawing. If two triangles exist, solve both completely.
side a = 30.6 yd
A = 30°
side c = 61.2 yd

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
sin%2830%29%2F30.6=sin%28C%29%2F61.2

sin%28C%29=%2861.2%2Asin%2830%29%29%2F30.6
sin%28C%29=%2861.2%2F30.6%29%281%2F2%29
sin%28C%29=2%2F2
sin%28C%29=1
highlight%28C=90%2Adegrees%29
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Angle at A is 30 degrees, so for triangle, the other unknown angle at B must be 60 degrees. highlight%28B=60%2Adegrees%29.

You can use Pythagorean Theorem formula to find b.