(Solved): To indirectly measure the distance across a lake, Anthony makes use of a couple landmarks at points ...

To indirectly measure the distance across a lake, Anthony makes use of a couple landmarks at points $$W$$ and $$X$$. He measures $$VY,YW$$, and $$YZ$$ as marked. Find the distance across the lake $$(WX)$$, rounding your answer to the nearest hundredth of a meter. (Diagram is not to scale.)