Question

Look at Picture for further clarification round to nearest minute

Answer 1

To determine A we will use the inverse function of the sine ( the arcsine):

$\begin{gathered} \sin ^{-1}(\sin A)=\sin ^{-1}(0.573) \\ A\approx34.9596^{\circ}. \end{gathered}$

Now, we convert A from degrees to degrees and minutes:

$A\approx34.9596^{\circ}=34^{\circ}57.576^{\prime}\approx34^{\circ}58^{\prime}\text{.}$

Answer:

$A\approx34^{\circ}58^{\prime}\text{.}$