Question

From the top of a tree a bird looks down on a field mouse at an angle of depression of 50 degrees if the field mouse is 40 M from the base of the tree find the vertical distance from the ground to the bird's eye round to the nearest tenth

Answer 1

The tangent function gives the ratio of vertical to horizontal distance in this case.
.. vertical distance = (horizontal distance)*tan(angle of depression)
.. = (40 m)*tan(50°)
.. vertical distance ≈ 47.7 m