SOLUTION: A bird is flying at a height of 2 meters above the ground. The horizontal distance along the ground from the bird to a birdbath is 4 meters. What is the angle of depression from th

Algebra ->  Triangles -> SOLUTION: A bird is flying at a height of 2 meters above the ground. The horizontal distance along the ground from the bird to a birdbath is 4 meters. What is the angle of depression from th      Log On


   



Question 1062229: A bird is flying at a height of 2 meters above the ground. The horizontal distance along the ground from the bird to a birdbath is 4 meters. What is the angle of depression from the bird to the birdbath, rounded to the nearest tenth of a degree?
30.0°
26.6°
63.4°
60.0°
NEED HELP

Answer by josgarithmetic(39627) About Me  (Show Source):
You can put this solution on YOUR website!
Bird to ground directly below, 2 meters;
That point directly below, along the ground, to the birdpath, 4 meters.
Angle below the bird, 90 degree.
Angle from the bird to the nearest point of the birdpath to the point directly below the bird, some angle x.

tan%28x%29=2%2F4=1%2F2

x=arctan%281%2F2%29 or x=tan%5E%28-1%29%281%2F2%29.



26.6 degrees