An observer (O) spots a bird flying at a 35° angle from a line drawn horizontal to its nest. If the distance from the observer (
O) to the bird (B) is 21,000 feet, how far is the bird (B) from its nest (N)? Round to the nearest whole number.
2 answers:
Answer:
Distance between the bird and the nest = 12045 feets
Step-by-step explanation:
Given: Distance from the observer (O) to the bird (B) is 21,000 feet and a bird flying at a 35° angle from a line drawn horizontal to its nest.
To find: distance between the bird and the nest
Solution:
Trigonometry explains the relationship between sides and angles of the triangle.
For any angle ,
= side opposite to angle
/Hypotenuse
Therefore,
So,
Distance between the bird and the nest = 12045 feets
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where our
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b=-24
c=7
so, delta=
Because delta is positive, there is real results.
Now we can use next formula x=
, to find roots (results, 2 results because its quadratic equation and delta is greater than 0)
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