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 ft., how far is the bird (b) from its nest (n)? round to the nearest whole number. a right triangle b n o is shown with angle b marked 55 degrees, side b n marked x and side b o marked 15000 feet.

The bird is 12287 ft away from its nest

Step-by-step explanation

In a right triangle as the one described, is possible to apply the definition of the sine function of an angle. The sine function is defined as the quotient of the opposite side of the angle to the hypotenuse (longer side) of the triangle.Then for the angle of 55 degrees, the opposite side would be the distance (called x) from the bird to the nest. The hypotenuse of the triangle is the distance between the observer and the bird.Using  scientific calculator, si possible to calculate the sine of 55 degrees as 0.82.Then from: is possible to solve to x as: . That would be the distance of the bird to the nest.