rewrite this essay
To find the angle formed between the rope and the pole, denoted as
π
ΞΈ, we use trigonometry with the given rope length of 25 feet and pole height of 8 feet. Utilizing the tangent function, we establish the equation
tan
β‘
(
π
)
=
8
25
tan(ΞΈ)=
25
8
β
. Solving for
π
ΞΈ, we take the inverse tangent to find
π
β
17.
5
β
ΞΈβ17.5
β
when rounded to the nearest tenth, indicating the angle formed between the rope and the pole.
1 answer
In order to determine the angle between the rope and the pole, denoted as ΞΈ, we can use trigonometry. Given that the length of the rope is 25 feet and the height of the pole is 8 feet, we can set up the equation tan(ΞΈ) = 8/25. By taking the inverse tangent, we find that ΞΈ is approximately 17.5 degrees when rounded to the nearest tenth. This calculation reveals the angle formed between the rope and the pole.