Question

Consider a triangle ABC like the one below. Suppose that A = 35°, C = 68°, b = 32. (The figure is not drawn to scale.) Solve the triangle. Round your answers to the nearest tenth.

Answer 1

Solution.

Given the triangle

`\begin{gathered} (a)/(sin35)=(32)/(sin77) \\ a=\frac{32\text{ x sin35}}{sin77} \\ a=18.84 \\ a=18.8(nearest\text{ tenth\rparen} \end{gathered}`
`\begin{gathered} (a)/(sinA)=(c)/(sinC) \\ (18.84)/(sin35)=(c)/(sin68) \\ \end{gathered}`
`\begin{gathered} c=\frac{18.84\text{ x sin68}}{sin35} \\ c=30.45 \\ c=30.5(nearest\text{ tenth\rparen} \end{gathered}`