Solve for all possible triangles that satisfy the given conditions. Find the exact answers and then round answers to TWO decimal places. (b) a=22, c=32, angle B=67 degrees
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We have $\frac{a}{\sin A} = \frac{c}{\sin B}$, so we can solve for $\sin A$: $\sin A = \frac{a \sin B}{c} = \frac{22 \sin 67^\circ}{32}$ Now, we can find angle A: $A = \arcsin\left(\frac{22 \sin 67^\circ}{32}\right) \approx 41.81^\circ$ Show more…
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