I have to disagree. The shark spends the vast majority of its time underwater, not within viewing distance. And they didn't tag it with any tracker.
Could they tag it with a tracker these days? Absolutely. But none of the individuals on board the Orca would likely have been funded for that, even including Hooper. He was a rich boy, but how rich could he have been if he's hiring Quint instead of a proper crew on a research vessel?