Abird (b) is spotted flying 5,000 feet from a tree (t). an observer (o) spots the bird (b) at a distance of 13,000 feet. what is the angle of depression from the bird (b) to the observer (o)? right triangle otb is shown. side tb labeled 5,000 and side bo is labeled 13,000. the angle b is labeled x degrees. 22.70° 44.62° 67.38° 68.96°

Step-by-step explanation:

Given : A bird (B) is spotted flying 5,000 feet from a tree (T). An observer (O) spots the bird (B) at a distance of 13,000 feet.  

To Find : What is the angle of depression from the bird (B) to the observer (O)?  

Solution :

TB=5000

OB=13000

We need to find angle of depression so we need to calculate angle TOB

Since ΔTOB is a right angled triangle .

So, we will use trigonometric ratios  

Hypotenuse = OB = 13000

Perpendicular=TB=5000

Putting values in formula  

Thus angle of depression is

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