Answer: We want to find angle 'theta' for which:
[tex]\sin (\theta)=\cos (58)[/tex]
In general, the following is always true:
[tex]\cos (\theta)=\sin (90-\theta)\rightarrow(1)[/tex]
Therefore we have the following:
[tex]\cos (58^{\circ})=\sin (90-58)=\sin (32^{\circ})[/tex]
Therefore the angles that we were interested in is:
[tex]\theta=32^{\circ}[/tex]
