What is the most appropriate level of accuracy for measuring the height of a tree

Step-by-step explanation:

Depends on the tree.

If it's like a pine or spruce, then I would use maybe 2 inches lattitude. If it's really leafy with big leaves, perhaps a little more lattitude is needed, like maybe 1/2 a foot.

It also depends on the season. Unless the pine or spruce is covered with snow, I wouldn't change the latitude. If it is covered with snow, knock the snow off.

For something like a maple in winter, I'd reduce the latitude to 3 inches

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