Answer:
The third option is the answer.
Step-by-step explanation:
These triangles are clearly not congruent because they have different side length so the first 2 options are wrong.
Since both triangles already share a right angle. The other two angles in both triangles must both add up to 90.
It is given to use that sin z=cos w. That doesn't mean that angle z= angle w.
Consider a two similar two 30-60-90 triangles We are given the 90 degree right angle in both triangles. We are also given one 60 degree angle in one and a 30 degree triangle in one.
But they have two different angle measures.
However, by triangle interior theorem. The third angle must be
equal to the other corresponding angle of the other triangle. So angle z corresponds with Angle X.
By the AA theorem, The triangles are similar.
The third option is the answer.