A hunter 1.6 m tall views a bird on top of a tree at an angle of 45∘. If the distance between the hunter and the tree is 10.4 m, find the height of the tree.
Worked solution (try it first)
The angle is measured at his eye.
The height of the bird above eye level is 10.4tan45∘=10.4 m.
Add his height: the tree is 10.4+1.6=12.0 m, option D.