Answer
$z \approx 84.816 cm$
$x \approx 62.942 cm$
$\angle X = 47.9108^{\circ}$
Work Step by Step
1. $\angle Y = 42.0892^{\circ}$
$y= 56.851 cm$
2. $\angle Y +\angle X = 90^{\circ}$
$\angle X = 47.9108^{\circ}$
3. $\sin Y = \frac{y}{z}$
$z= 56.851 \times \sin (42.0892^{\circ}) \approx 84.816 cm$
4. $\tan Y = \frac{y}{x}$
$x= 56.851 \times \tan (42.0892^{\circ}) \approx 62. 942 cm$