Question

A bird (b) is spotted flying 900 feet from an observer. the observer (o) also spots the top of a tower (t) at a height of 200 feet. what is the angle of depression from the bird (b) to the observer (o)?

Answer 1

The angle of depression from the bird to the observer is approximately 12.5 degrees.

Step-by-step explanation:

To find the angle of depression from the bird (b) to the observer (o), we can use trigonometry. We are given that the bird is flying 900 feet from the observer and the tower is 200 feet tall. Using the tangent function, we can find the angle of depression:

Tan(angle) = Opposite/Adjacent

Tan(angle) = 200/900

angle = tan-1(200/900)

Using a calculator, we find that the angle of depression is approximately 12.5 degrees.