Given data:
The given figure is shown.
For figure A, the expression for sin(A) is,
[tex]\begin{gathered} \sin A=\frac{7}{18} \\ A=\sin ^{-1}(\frac{7}{18}) \\ =22.885^{\circ} \\ \approx23^{\circ} \end{gathered}[/tex]
Thus, the value of angle A is 23 degrees.
(b)
The vaue of tan(A) is,
[tex]\begin{gathered} \tan (A)=\frac{14}{12} \\ A=\tan ^{-1}(\frac{7}{6}) \\ =49.398^{\circ} \\ \approx49^{\circ} \end{gathered}[/tex]
Thus, the value of A is 49 degrees.
(c)
The value of cos(A) is,
[tex]\begin{gathered} \cos (A)=\frac{6}{10} \\ A=\cos ^{-1}(0.6) \\ \approx53^{\circ} \end{gathered}[/tex]
Thus, the value of A is 53 degrees.
(d)
The value of tan(A) is,
[tex]\begin{gathered} \tan A=\frac{20}{28} \\ \tan A=\frac{5}{7} \\ A=\tan ^{-1}(\frac{5}{7}) \\ =35.53^{\circ} \\ \approx35^{\circ} \end{gathered}[/tex]
Thus, the measurement of angle A is 35 degrees.
