A conical circus tent has a 20 ft central pole that supports it. The slant height of the tent is 26 ft long. Explain how to find
2 answers:
The <u>value</u> of the missing angle is the ratio of the length of the central pole to the length of the side of the tent, which is 0.77. Applying <u>arccosine</u>, we find that the angle the tent pole makes with the sides of the tent is 39.6°.
<h3>How to find the angle the tent pole makes?</h3>In order to determine the angle the tent pole makes, we would apply the law of cosine because the central pole forms a right-angle triangle with the floor of the tent:
cos(θ) = Adj/Hyp
Where:
- Adj is the adjacent side of a right-angled triangle.
- Hyp is the hypotenuse of a right-angled triangle.
- θ is the angle.
Substituting the parameters into the formula, we have;
cos(θ) = Adj/Hyp
cos(θ) = 20/26
cos(θ) = 0.77
θ = cos⁻¹(0.77)
Angle, θ = 39.6°.
In conclusion, we can infer and logically deduce that the <u>value</u> of the missing angle is the ratio of the length of the central pole (adjacent) to the length of the side of the tent (hypotenuse), which is 0.77. Applying <u>arccosine</u>, we find that the angle the tent pole makes with the sides of the tent is 39.6°.
Read more on law of cosine here: brainly.com/question/27613782
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Complete Question:
A conical circus tent has a 20 ft central pole that supports it. The slant height of the tent is 26 ft long. Explain how to find the angle the tent pole makes with the sides of the tent.
The central pole forms a right triangle with the floor of the tent. The_____________of the missing angle is the ratio of the length of the central pole to the length of the side of the tent, which is __________ . Applying ___________, we find that the angle the tent pole makes with the sides of the tent is ____________ .
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