Question

D. 18.3
Math question no Guessing and Please show work

Answer 1

To solve this we can apply the law of sines. WIth law of sines, we have:

`(sin(A))/(a)=(sin(B))/(b)=(sin(C))/(c)`

So, we do not know B, c or C. To find either angle or side c, we hav to find angle B first and the rest will follow. To find angle B, we can do:

`(sin(15))/(9)=(sin(B))/(10) \implies \\ (10sin(15))/(9)=sin(B) \implies\\ .29=sin(B) \implies \sin^(-1)(.288)=B \implies\\ 16.77^(\circ)=B`

So, we have
`A=15^(\circ), B=16.77^(\circ) \implies\\ A+B+C=180 \implies \\ C=180-(A+B)=180-31.77=148.23`

So, we have to solve:

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