From the top of a tree, a bird looks down on a field mouse at an angle of depression of 50°. If the field mouse is 40 meters from the base of the tree, find the vertical distance from the ground to the bird’s eyes. Round the answer to the nearest tenth.

a.
33.6 m
b.
42.0 m
c.
47.7 m
d.
59.6 m

Question

From the top of a tree, a bird looks down on a field mouse at an angle of depression of 50°. If the field mouse is 40 meters from the base of the tree, find the vertical distance from the ground to the bird’s eyes. Round the answer to the nearest tenth.

a.
33.6 m
b.
42.0 m
c.
47.7 m
d.
59.6 m

anonymous · Answer

You will use a trigonometric identity to solve this. |dw:1402621750528:dw|