An observer (o) spots a bird flying at a 55 degree angle from a line drawn horizontal to its nest. if the distance from the observer (o) to the bird (b) is 15,000ft., how far is the bird (b) from its nest (n)? round to the nearest whole number.

Explanation :

It is given that,

An observer (O) spots a bird flying at a 55 degree angle from a line drawn horizontal to its nest. If the distance from the observer (O) to the bird (B) is 15,000 ft.

The attached figure shows the whole description. We need to find the distance between bird and the nest. Let it is equal to x.

Using trigonometric identities as :

x = 8603.64 feet

or

x = 8604 feet

So, the bird is 8604 feet far from its nest. Hence, this is the required solution.

x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation: