Answer:
18.7 feet far
Step-by-step explanation:
Based on the information given we can conclude that our set up will be a Right triangle (i.e. one angle is 90°), where the hypotenuse will be denoted by the guy wire of [tex]20ft[/tex] and angle of 21° is the angle formed between then hypotenuse and the base (i.e. ground).
Thus we want to find the base length (lets call it [tex]x[/tex] ) of this triangle, so we can use trigonometry as we have one angle and the hypotenuse, as follow:
[tex]cos(21)=\frac{adjacent side}{hypotenuse}=\frac{baselength}{guywire}\\\\ cos(21)=\frac{x}{20} \\x=20cos(21)\\x=18.671\\x=18.7ft[/tex]
So the base is approximately 18.7 feet far from the tree of the anchored wire.
