Question

If 0° ≤ A ≤ 180°, find ∠A, to the nearest tenth of a degree.

Answer 1

Answer:

a) A = 140.6 degrees

b) A = 16.6 degrees

c) C = 122.9 degrees

d) C = 64.6 degrees

Step-by-step explanation:
`\begin{gathered} \cos A=-0.7732 \\ \\ A=\cos^(-1)(-0.7732)=140.6^o \end{gathered}`
`\begin{gathered} \sin A=0.2853 \\ \\ A=\sin^(-1)(0.2853)=16.6^o \end{gathered}`

`\begin{gathered} \tan C=-1.5477 \\ \\ C=\tan^(-1)(-1.5477)=180-57.1327=122.9^o \end{gathered}`

`\begin{gathered} \cos C=0.4288 \\ \\ C=\cos^(-1)(0.4288)=64.6^o \end{gathered}`