Answer
$32.0^{\circ}$
Work Step by Step
$x = 8cos(41^{\circ})$
$y = \frac{0.75}{cos(\theta)}$
$cos(\theta)=\frac{x}{8-y} = \frac{8cos(41^{\circ})}{8-\frac{0.75}{cos(\theta)}} $
$(cos(\theta))(8-\frac{0.75}{cos(\theta)}) = 8cos(41^{\circ})$
$8cos(\theta) - 0.75 = 8cos(41^{\circ})$
$8(cos(\theta) - cos(41^{\circ})) = 0.75 $
$cos(\theta) - cos(41^{\circ}) = 0.09375 $
$\theta = cos^{-1}(0.09375+ cos(41^{\circ})) \approx 32.0^{\circ} $
