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 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 35 degrees, side B N marked x and side B O marked 21000 feet. 12,045 feet 14,704 feet 16,980 feet 17,202 feet

Question

Ruth Archer

Mathematics

12 January, 23:10

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 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 35 degrees, side B N marked x and side B O marked 21000 feet. 12,045 feet 14,704 feet 16,980 feet 17,202 feet

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Answers (1)

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Giuliana Copeland · Answer 1

The distance between the observer and the bird is the hypotenuse of the right triangle. Moreover, the distance between the distance between the bird and the nest is the perpendicular of the right triangle. The distance may be calculated using:

Sin (∅) = perpendicular / hypotenuse

perpendicular = sin (35°) * 21000

perpendicular = 12,045 feet

The distance between the bird and its nest is 12,045 feet