3 ft
The statue's height is 1.5 times the length of its shadow, so we expect the same relationship for the globe.
... 1.5 × 2 ft = 3 ft
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Comment on the problem
As a practical matter, with the sun high enough in the sky to cast a shadow shorter than the object's height, it will be quite difficult to measure the length of the shadow of the point at the top of the globe. The shadow of other parts of the globe will interfere.