Question

A bird (B) is spotted flying 6,000 feet from a tower (). An observer (0) spots the top of tower (T) at a distance of 9,000 feet. What is the angle of depression from the bird (B) to the
observer (0)?

Answer 1

Using relations in a right triangle, it is found that the angle of depression is of θ = 56.31º.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

• The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.

• The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.

• The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

For this problem, we have that:

• The opposite side to the angle of depression is the top of tower, at a height of 9000 feet.

• The adjacent side to the angle is the distance to the bird, of 6000 feet.

Hence, considering θ as the depression angle, we have that:

tan(θ) = 9000/6000

tan(θ) = 1.5

θ = arctan(1.5)

θ = 56.31º.

More can be learned about relations in a right triangle at brainly.com/question/26396675

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