Question

A man standing in the corridor of an eight storey building sees the top of a tree at an angle of depression thirty degrees. If the tree is 160 meters tall and the man's eyes are 240 meters from the ground. Calculate the angle of depression of the foot of the tree

Answer 1

Draw a diagram. It should be clear that the distance d between the building and the tree can be found using

80/d = tan 30° = 1/√3
so, d = 80√3

Now you want to find θ such that
tanθ = 240/(80√3) = √3
...