Question #327176

Write expression that gives the required unknown value.


1. If a = 8 and c = 12, find B.

Answer:


2. If a = 13 and B = 16°, find c.

Answer:


3. If A = 15° and c = 37, find a.

Answer:


1
Expert's answer
2022-04-13T18:09:41-0400


1_________________

cosB=accosB=812B=arccos(812)cosB = \frac{a}{c}\\ cosB = \frac{8}{12}\\ B = arccos(\frac{8}{12})

2_________________

cosB=acc=acosBc=13cos16°cosB = \frac{a}{c} \\ c = \frac{a}{cosB}\\ c = \frac{13}{cos16°}

3_________________

sinA=aca=c×sinAa=37×sin15°sinA =\frac{a}{c}\\ a = c×sinA\\ a = 37×sin15°


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