The relationship between the angle of depression and the distance between the dock and anchor is θ = cos⁻¹(172/q)
Trigonometric ratio
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let θ represent the angle of depression and q the distance between the end of the dock and the anchor, hence:
cosθ = 172 / q
θ = cos⁻¹(172/q)
when q = 205 m, θ = cos⁻¹(172/205) = 33⁰
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