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An observer (O) spots a bird flying at a 55° angle from a line drawn horizontal to its nest. If the distance from the observer (O) to the bird (B) is 15,000 feet, how far is the bird (B) from its nest (N)? Round to the nearest whole number.

A- 8,604
B-12,287
C-18,366
D-21,422

HELLLPPPP ASAP An observer O spots a bird flying at a 55 angle from a line drawn horizontal to its nest If the distance from the observer O to the bird B is 150 class=

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Luv2Teach

Answer:

Step-by-step explanation:

This is very obviously a right triangle problem. Side BO is the hypotenuse of the triangle, measuring 15000'. Side BN is the side adjacent to the given angle B, 55 degrees. This is the cosine ratio:

[tex]cos\theta=\frac{adj}{hyp}[/tex]

We will fill in what we know:

[tex]cos(55)=\frac{x}{15000}[/tex] and solving for x:

15000cos(55) = x

Do that on your calculator in degree mode in exactly that order and get that

x = 8603.6 or, rounded as we need:

x = 8604, choice A.

SmartGirl03020617

Answer: Yes the answer is A- 8604!!