Answer:
 x ≈ 4.1 cm
Explanation:
The side (z) opposite the 42° triangle can be found from the relation ...
 z/(3.6 cm) = tan(42°)
 z = (3.6 cm)·tan(42°) ≈ 3.2415 cm
The relationship between z and x is ...
 z/x = cos(38°)
 x = z/cos(38°) ≈ 4.1135 cm
 x ≈ 4.1 cm