It’s not a tall tax if you extend it to short people too! Anyway, some might be amused and/or edified. An excerpt:

Our research shows that, according to a conventional utilitarian calculus, the optimal height levy is sizeable. We calculate optimal taxes for adult white males in the US, whom we divide into three height groups – tall (above 72 inches), medium (between 70 and 72 inches), and short (below 70 inches). The optimal average tax on the tall is about 7.1% of the average tall income, while the average tax on the medium is about 3.8% of average medium income. These taxes pay for an average transfer to the short of more than 13% of average short income. Expressed in a more tangible way, the following table shows the optimal tax schedule by height group. A tall person making $50,000 should pay about $4,500 more in taxes than a short person making the same income.
Many people, however, will not quickly embrace the idea of levying higher taxes on tall taxpayers. Indeed, when first hearing the proposal, most people either recoil from it or are amused by it. And that reaction is precisely what makes the policy so intriguing. A tax on height follows inexorably from a well-established empirical regularity and the standard approach to the optimal design of tax policy. If the conclusion is rejected, the assumptions must be reconsidered.
What’s wrong with taxing height?
One possibility is that the canonical utilitarian model omits some constraints from political economy that are crucial for guiding tax policy. For example, some might fear that a height tax would potentially become a “gateway” tax for the government, making taxes based on demographic characteristics more natural and dangerously expanding the scope for government information collection and policy personalisation. Yet modern tax systems already condition on much personal information, such as number of children, marital status, and personal disabilities. A height tax is qualitatively similar, so it is hard to see why it would trigger a sudden descent down a slippery slope.