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. (4 points)

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

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. (4 points)

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

Mercury · Answer

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I think this is it?

in this case, you have the angle (35 degrees), the adjacent side (the ground, BO), and you want to know the hypotenuse BN (which I have set as x). set up the appropriate trig ratio and solve for x.