Question

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.

Answer 1

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 $\theta$,

$\sin \theta$ = side opposite to angle $\theta$/Hypotenuse

Therefore,

$\sin 35^{\circ}=\frac{BN}{OB}\\\sin 35^{\circ}=\frac{BN}{21000}\\BN=12045.1\approx 12045\,\,feets$

So,

Distance between the bird and the nest = 12045 feets

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Answer 2

Answer:

Step-by-step explanation: