Question

Using sine tule find Obtuse angle B

Answer 1

`\textit{Law of sines} \\\\ \cfrac{\sin(\measuredangle A)}{a}=\cfrac{\sin(\measuredangle B)}{b}=\cfrac{\sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\sin(B)}{7}=\cfrac{\sin(30^o)}{6}\implies \sin(B)=\cfrac{7\sin(30^o)}{6} \\\\\\ B=\sin^(-1)\left[ \cfrac{7\sin(30^o)}{6} \right]\implies B\approx 35.69^o`

Make sure your calculator is in Degree mode.