Math ? : ) 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.

39.2

Check out the attached image

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Explanation:

Draw out the triangle or use the diagram provided by your teacher. It should look something similar to what I've attached. 

Let m = length of side XZ

We are given that
angle Y = 75 degrees
angle Z = 67 degrees
which are the green angles shown in the diagram

Use the fact that the three angles (X,Y,Z) add to 180 degrees to find angle X
X+Y+Z = 180
X+75+67 = 180
X+142 = 180
X+142-142 = 180-142
X = 38

Now use the law of sines to find m
sin(X)/YZ = sin(Y)/XZ
sin(38)/25 = sin(75)/m
m*sin(38) = 25*sin(75)
m = 25*sin(75)/sin(38)
m = 39.22309 <<<--- make sure your calculator is in degree mode
m = 39.2

So XZ is roughly 39.2 feet in length