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Tju [1.3M]
3 years ago
10

An observer (O) spots a bird flying at a 42° angle from a line drawn horizontal to its nest. If the distance from the observer (

O) to the bird (B) is 17,000 ft., how far is the bird (B) from its nest (N)? Round to the nearest whole number. (4 points)
A right triangle B N O is shown with angle B marked 42 degrees, side B N marked x and side B O marked 17000 feet.


a

11,375 feet


b

12,633 feet


c

14,862 feet


d

15,307 feet
Mathematics
1 answer:
kvasek [131]3 years ago
3 0

Answer:

12,633

Step-by-step explanation:

cos(42º) = x ⁄ 17000

           x = 17000 • cos(42º)

           x = 12633 feet

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we know that

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Applying the Pythagorean Theorem find the height

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h=(33/3)=11 ft

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321,103.20/350=917.44 \ lane\ miles

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<u>the answer part c) is</u>

the number of lane miles is 917 \ lane\ miles

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