Is it possible to find angleAof triangleABCknowing length ofAB, angle B, values ofsandv, and when length ofBC=stand length ofAC=vt?

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- Aug 31st 2009, 08:42 AMdvidAiming Trig
Is it possible to find angle

**A**of triangle**ABC**knowing length of__AB__, angle B, values of**s**and**v**, and when length of__BC__=**st**and length of__AC__=**vt**? - Aug 31st 2009, 10:27 PMGrandadSine Rule
Hello dvid

Welcome to Math Help Forum!Yes, it is. Using the Sine Rule:

$\displaystyle \frac{a}{\sin A}= \frac{b}{\sin B}$

$\displaystyle \Rightarrow \sin A = \frac{a\sin B}{b}$

$\displaystyle = \frac{BC \sin B}{AC}$

$\displaystyle = \frac{st\sin B}{vt}$

$\displaystyle = \frac{s \sin B}{v}$

Grandad