The angle between the sides 6 feet and 10 feet is 93.82 degrees by using the cosine rule.
Trigonometry deals with the relationship between the sides and angles of a triangle.
A tree is growing on a hill.
In an attempt to make the tree grow straight up, a 12-foot-long wire is attached to a tree at a point 6 feet off the ground.
The wire is anchored to the ground 10 feet from the base of the tree.
We know that the cosine rule is given as
[tex]\rm Cos \theta = \dfrac{a^{2} +b^{2} - c^{2} }{2ab}[/tex]
We have
a = 6
b = 10
c = 12
Then angle will be
[tex]\rm Cos \theta = \dfrac{6^{2} +10^{2} - 12^{2} }{2*6*10}\\\\\rm Cos \theta = \dfrac{36+100-144}{120}\\\\\rm Cos \theta = \dfrac{-8}{120}\\\\\theta \ \ \ \ \ = cos^{-1} \dfrac{-8}{120} \\\\\theta \ \ \ \ \ = 93.82[/tex]
More about the trigonometry link is given below.
https://brainly.com/question/22698523
