Question

A bird is sitting on top of a ten foot pole looking at a piece of bread that is 30 feet from the base of the pole. What is the angle of depression from the bird to the piece of bread.

Answer 1

Answer: The angle of depression is 18.3 degrees

Explanation:

The scenario is illustrated in the attached photo

A right angle triangle ABC is formed. The angle of depression, theta forms an alternate angle of # on the ground. To determine the angle, #, we would apply trigonometric ratio

Tan# = opposite side / adjacent side

Opposite side = BC = 10 feets

Adjacent side = AB = 30 feets

Tan # = 10/30 = 0.33

# = tan^-1(0.33)

# = 18.2629

Approximately 18.3 degrees

Since # is alternate to the angle of depression, it means that they are equal. So

The angle of depression is 18.3 degrees