Question

A support wire that is attached from the top of an observation tower to 20 meters away on the ground. if the support wire and the ground form an angle of 46 degrees, what is the length of the support wire?

Answer 1

What are trigonometric ratios?

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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