Answer:
The base of the tree from a stake anchoring the wire is 18.67 feet far.
Step-by-step explanation:
Given:
the length of the wire = 20 feet
Angle that the wire makes with the ground = 21 degrees
To Find:
The Distance from the base of the tree from the stake anchoring wire = ?
Solution:
We we construct a figure using the given data we end up with the right triangle as shown below
So now we can use the cosine ratio to find the distance from the base of the tree to the anchoring wire
Let d be the distance of base of the tree from a stake anchoring the wire
[tex]Cos(angle) =\frac{\text{Adjacent side}}{Hypotenuse}[/tex]
On substituting the values we get
[tex]cos(21^{\circ}) =\frac{d}{20}[/tex]
[tex]d = cos(21^{\circ}) \times 20[/tex]
d = [tex]0.9335 \times 20[/tex]
d = 18.67 feet
