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A bird (B) is spotted flying 6,000 feet from a tower (T)). An observer (O) spots the top of the tower (T) at a distance of 9,000 feet. What is the angle of depression from the bird (B) to the observer (O)? Right triangle OTB is shown. Side OT is labeled 9,000 and side TB is labeled 6,000. The angle B is labeled x degrees. 33. 69° 41. 81° 48. 18° 56. 31°.

Respuesta :

The angle of depression from the bird to the observer is 41.81°

Angle of depression

The angle of depression can be calculated using trigonometric ratios. The situation forms a right angle triangle. A right angle triangle has opposite , adjacent and hypotenuse side.

Using trigonometric ratio,

  • sin B = opposite / hypotenuse

Therefore,

sin B = 6000 / 9000

sin B = 0.66666666666

B = sin⁻¹ 0.666666

B = 41.8103143833

B ≈  41. 81°

learn more on angle of depression here: https://brainly.com/question/24600261?referrer=searchResults

Answer:

The answer should be 56.31 degrees

Step-by-step explanation:

Hopefully this helps.

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