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3 years ago

An observer (O) spots a plane (P) taking off from a local airport and flying at a 33° angle

Mathematics

1 answer:

Oliga [24]3 years ago

7 0

Answer: 10,779 feets

Step-by-step explanation:

From the sketch attached ;

∠POT is the Angle of elevation = 33°

Height of tower = 7000 Feets

Taking the triangle POT

WHERE PT = 7000 Feets (Opposite)

Distance (d) between the bird and plane is the ADJACENT,

NOTE: (BP = OT = d)

Taking the tangent of the angle of elevation;

Tan Θ = opposite / Adjacent

Tan 33° = 7000 / d

Cross multiply

d × 0.6494075 = 7000

d = 7000 / 0.6494075

d = 10779.054 = 10,779 feets

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