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The given question is on trigonometry which requires the application of required <em>function</em> so as to determine the <em>value known</em>. So that the <u>length</u> of the guy wire is 67.0 feet.
<em>Trigonometry </em>is an aspect of mathematics that requires the application of some <u>functions</u> to determine the <em>value</em> of an unknown quantity.
Let the <u>length</u> of the guy wire be represented by l, and the angle that the guy wire makes with the <u>stake</u> be θ. So that applying the appropriate trigonometric function to determine the <em>value</em> of θ, we have:
Tan θ =
=
Tan θ = 2.75
θ = 2.75
= 70.0169
θ =
Considering triangle formed by the <u>tower</u> and the <u>stake</u> to determine the value of l, we have;
Cos θ =
Cos =
l =
=
l = 67.2515
l = 67 feet
The <u>length</u> of the guy wire is 67 feet.
For more on trigonometric, check: brainly.com/question/6459892