Yes, at the rate of sine of angle.
When I was a teenager I spent the summers working in Alaska on my uncles commercial fishing site. Kenai river, set net, sockeye. So fishing off the beach, one end of net on beach, the other out in the water on an anchor line loop.
The gill nets used steel spreader bars to hold the cork and lead lines apart in the extremely fast running tidal flow (15-20 knots). Most everyone else did not do that, and just let the weight of the lead do it's thing . But the net won't catch anything that way, parallel to flow, until the tide slows down and it can hang down perpendicular.
Since our nets had the full force of tide on the surface area of net, the pressure on the rigging system was very high. Beyond what even very large rope (over 1") would handle reliably. So we used steel cable for the anchor line, and a dedicated 4x4 vehicle on the other end. Leaving 'too much' net in the water with a big tide would do one of the following
-break the main cable
-drag the anchor in
-destroy the net
-drag the tow vehicle out of position
We had books and charts on rope types, capacities and so on. I found that the infinity angle deal interesting. We broke a lot of things, people got hurt bad. Really dangerous way to make a living.