Answer:
x = 8; y = 8√2
Step-by-step explanation:
From your knowledge of trig functions, you know that ...
tan(45°) = 8/x = x/8 = 1
So, x = 8.
You also know that ...
sin(45°) = cos(45°) = 1/√2 = 8/y
Then, y = 8√2. (by "cross multiplying")
