+18 pts An observer (O) spots a plane (P) taking off from a local airport and flying at a 33° 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 7,000 feet, how far is the bird (B) from the plane (P)? Round to the nearest whole number.

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10779 feet

Step-by-step explanation:

We would be using the Trigonometric function called Tangent to solve this question.

tan θ = Opposite side / Adjacent side

From the attached diagram,

θ = 33°

Opposite side = 7000 feet

Adjacent side = the distance of bird (B) from the plane (P) = unknown

tan 33° = 7000 feet / Adjacent side

Cross multiply

tan 33° × Adjacent side = 7000 feet

divide both sides by tan 33°

Adjacent side = 7000 feet / tan 33°

Adjacent side = 10779.054747 feet.

Approximately = 10779 feet.

Therefore, the distance of bird (B) from the plane (P) to the nearest whole number is 10779 feet.

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step-by-step explanation: