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jeka94
3 years ago
5

HELP ASAP | A bird (B) is spotted flying 5,000 feet from a tree (T). An observer (0) spots the bird (B) at a distance of 13,000

feet. What is the angle of
depression from the bird (B) to the observer (0)? (4 points)
T
5,000
00
13,000
o
a
22.70°
44.62
C
67.38°
d
68.96º

Mathematics
1 answer:
AURORKA [14]3 years ago
7 0

Answer:

x=67.38^\circ

Step-by-step explanation:

Use trigonometry

Recall that cos(x)=adjacent side/hypotenuse

You can remember this with SohCahToa

Also remember that if cos(x)=y then cos^{-1}(y)=x

In this case, we know the adjacent side and hypotonous

Adjacent side=5000

Hypotenuse=13000

Therefore

Cos(x)=\frac{5000}{13000}=\frac{5}{13}

Now to solve for x, take the inverse cosine

cos^{-1}(\frac{5}{13})=x=67.38^\circ

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