Suppose that you see a flock of birds at an angle of elevation of 32 degrees if the birds are at an altitude of 12,000 feet and if your eye is 6 feet above the ground the what is your horizontal distance from the birds

Question

12-04-2018
Mathematics

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Suppose that you see a flock of birds at an angle of elevation of 32 degrees if the birds are at an altitude of 12,000 feet and if your eye is 6 feet above the ground the what is your horizontal distance from the birds

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calculista calculista · Answer 1 · 2018-04-22T17:45:31+02:00

we know that

tan 32°=opposite side/adjacent side
[adjacent side]=[opposite side]/tan 32°

in this problem

opposite side-----> will be the altitude of the flock of birds minus your eye level above the ground
(12000-6)-----> 11994 ft

adjacent side------->will be the horizontal distance between you and the birds
32°------> an angle of elevation

[adjacent side]=[11994]/tan 32°-------> 19194.41 ft

the answer is
The horizontal distance from the birds is 19194.41 ft