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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.

In ABC B 51 b 35 and a 36 What are the two possible values for angle A to the nearest tenth of a degreeSelect both correct answers class=

Respuesta :

Using the law of sines:

[tex]\frac{a}{\sin(A)}=\frac{b}{\sin (B)}[/tex]

Solve for A using the data provided:

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

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