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{.}`