Question

In ABC, B = 51°, b = 35, and a = 36. What are the two possible values for angle A to the nearest tenth of a degree?Select both correct answers.

Answer 1

Using the law of sines:

`(a)/(\sin(A))=(b)/(\sin (B))`

Solve for A using the data provided:

`\begin{gathered} \sin (A)=(\sin (B)\cdot a)/(b) \\ A=\sin ^(-1)((\sin (51)36)/(35)) \\ A\approx53.1 \\ or \\ A\approx126.9 \end{gathered}`