Imagine that you are standing at the top of a cliff that is 1,500 feet above sea level. You see ship A, and your eyes make an angle of 60° with the ship. Then you see ship B, which is feet beyond ship A. The angle of depression that your eyes make with ship B is

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Krystal Kelly

Mathematics

5 January, 09:51

Imagine that you are standing at the top of a cliff that is 1,500 feet above sea level. You see ship A, and your eyes make an angle of 60° with the ship. Then you see ship B, which is feet beyond ship A. The angle of depression that your eyes make with ship B is

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Frauline · Answer 1

Distance of A from cliff = 1500·arctan (30°) ≅ 723.5 ft

distance of B from cliff = 723.5+1000√3 ≅ 2455.6 ft

tanθ = 2455.6/1500 = 1.637

θ = arctan (1.637) ≅ 58.6°

angle of depression = 90-θ ≅ 30°