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. What is the angle of depression from the bird (B) to the observer (O)? (4 points)
Right triangle OTB is shown. Side TB labeled 5,000 and side BO is labeled 13,000. The angle B is labeled x degrees.
a
22.70°
b
44.62°
c
67.38°
d
68.96°
Answers
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 : angle of depression from the bird (B) to the observer (O)
Solution:
angle of depression from the bird (B) to the observer (O) = angle of elevation
Sin ( angle of elevation) = Vertical Height / Distance
=> Sin ( angle of elevation) = 5000 / 13000
=> Sin ( angle of elevation) = 5/ 13
=> Angle of elevation = 22.7°
angle of depression from the bird (B) to the observer (O) = 22.7°
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Step-by-step explanation:
✎Question :-
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. What is the angle of depression from the bird (B) to the observer (O)? (4 points)
Right triangle OTB is shown. Side TB labeled 5,000 and side BO is labeled 13,000. The angle B is labeled x degrees.
a) 22.70°
b) 44.62°
c) 67.38°
d) 68.96°
✎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. What is the angle of depression from the bird (B) to the observer (O).
✎To Find :-
Angle of depression from the bird (B) to the observer (O)
✎Solution :-
a) 22.70°
Angle of depression from the bird (B) to the observer (O) = angle of elevation
- Sin (angle of elevation) = Vertical Height / Distance
- Sin (angle of elevation) = 5000/13000
- Sin (angle of elevation) = 5/13
=> Sin (angle of elevation) = 22.70° / 22.7°
.
Hope it helpful.. ✌️