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The distance between the bird (B) and plane (P) exists at 10,779 feet.
Given the figure attached,
PT = OB = 7000 ft
PB = OT = x feet
and angle of elevation (∠POT) = 30°
By applying the Tan rule in the triangle POT,
tan 33° = Opposite side/Adjacent side = PT/OT
tan 33° = 7000/x
x = 7000/tan33°
x = 10779 feet
The distance between the bird (B) and plane (P) exists at 10,779 feet.
Therefore, the correct answer is option D. 10779 feet.
To learn more about trigonometric functions refer to:
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