Question

An observer (O) spots a plane (P) taking off from a local airport and flying at a 29° angle horizontal to her line of sight and located directly above a tower (T). The observer also notices a bird (B) circling directly above her. If the distance from the plane (P) to the tower (T) is 6,000 ft., how far is the bird (B) from the plane (P)?
A diagram is shown with two parallel lines cut by a transversal. One angle is marked 29 degrees, one side is marked 6000 and another side is marked x.

6857 feet

10,824 feet

12,371feet

22,063 feet

Answer 1

B. 10,824 feet
is the right answer
tan 26 = 6000/x
x = 10824 ft