Question

Use the law of sines to solve the triangle if possible

Answer 1

The Sine rule formula is,

`(a)/(sinA)=(b)/(sinB)=(c)/(sinC)`

Given:

`\begin{gathered} a=13.9in \\ A=83^0 \\ b=18.3in \\ B=? \end{gathered}`

Let us solve for solve for the measure of angle B

`(13.9)/(sin83^0)=(18.3)/(sinB)`

Therefore,

`\begin{gathered} sinB=(18.3* sin83^0)/(13.9)=1.30673342266 \\ \therefore B=sin^(-1)(1.30673342266)=No\text{ solution} \end{gathered}`

Hence, there are no possible solutions for this triangle (OPTION C).