Answer:
[tex]\frac{WV}{WX}=\frac{VY}{VX}[/tex]
Step-by-step explanation:
we know that
In the right triangle WVX
[tex]cos(W\°)=\frac{WX}{WV}[/tex]
Remember that
[tex]cos(W\°)=sin(Y\°)[/tex] ------> equation A
Because are complementary angles
In the right triangle VXY
[tex]sin(Y\°)=\frac{VX}{VY}[/tex]
substitute the values in the equation A
[tex]\frac{WX}{WV}=\frac{VX}{VY}[/tex]
Rewrite the expression
[tex]\frac{WV}{WX}=\frac{VY}{VX}[/tex]
