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. A right triangle BNO is shown with angle B marked 35 degrees, side BN marked x, and side BO marked 21,000 feet.

Answer 1

the answer is 17,202 feet

Answer 2

The bird (B) from its nest (N) is 17202 ft.

What is Trigonometric functions?

Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.

This is very obviously a right triangle problem.

Side BO is the hypotenuse of the triangle, measuring 21000.

Side BN is the side adjacent to the given angle B, 35 degrees.

This is the cosine ratio:

cos∅ = adj/hyp

substitute the values

cos35° = x/21000 and solving for x:

21000.cos(35°) = x

x = 17202.19 or, rounded as we need:

x = 17202

Hence, the bird (B) from its nest (N) is 17202 ft

Learn more about Trigonometric functions

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