Trigonometric ratios are defined as the ratio of different sides of a right angle triangle with respect to one angle of the right angled triangle.
Length of the wire = Hypotenuse of the triangle = X
Base of the triangle = Distance from the bottom of the tower to the point where wire is attached on ground = 20 m
Angle b/w Hypotenuse and Base of triangle = 46°
cos(θ) = Base / Hypotenuse
cos(46) = 20 / X
X = 20 / cos(46)
X = 28.79 m
Hence, the length of the wire is 28.79 m.
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