In △xyz , m∠x=38∘ , m∠z=67∘ , and yz=25 feet . what is xz ? enter your answer as a decimal in the box. round only your final answer to the nearest tenth.

Using the law of the sine we have:
 x / sine (m∠Y) = 25 / sine (m∠X)
 Where,
 m∠Y = 180 - m∠X - m∠Z
 m∠Y = 180 - 38 - 67
 m∠Y = 75
 Substituting values:
 x / sine (75) = 25 / sine (38)
 Rewriting we have:
 x = (25 / sine (38)) * (sine (75))
 x = 39.22309033
 Round to the nearest tenth
 x = 39.2 feet
 
 XZ = 39.2 feet