Let's find the height of the tree given that a hunter 1.6 m tall views a bird on top of a tree at an angle of 45° and the distance between the hunter and the tree is 10.4 m. We can use trigonometry to solve this problem.

Let h be the height of the tree. Since the hunter is viewing the bird at an angle of 45°, we have \(tan(45°) = \frac{h - 1.6}{10.4}\).

Solving for h, we get \(h = 10.4 tan(45°) + 1.6 = 10.4 + 1.6 = 12\). So, the height of the tree is 12 m.