SOLUTION: This problem refers to triangle ABC. If A = 70°, B = 30°, and b = 15 cm, find a. (Round your answer to the nearest whole number.) a = cm

Algebra ->  Triangles -> SOLUTION: This problem refers to triangle ABC. If A = 70°, B = 30°, and b = 15 cm, find a. (Round your answer to the nearest whole number.) a = cm      Log On


   



Question 1135706: This problem refers to triangle ABC.
If A = 70°, B = 30°, and b = 15 cm, find a. (Round your answer to the nearest whole number.)
a = cm

Answer by VFBundy(438) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Law of Sines:
b%2Fsin+30+=+a%2Fsin+70
...which we know is:
15%2Fsin+30+=+a%2Fsin+70
Cross-multiply:
a+%2A+sin+30+=+15+%2A+sin+70
Simplify:
a%280.5%29+=+15%280.939693%29
a%280.5%29+=+14.095395
a+=+28.19079