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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.

Answer :

The angle the pole makes with the tent is 39.7°.

What is an angle?

  • An angle is a figure in Euclidean geometry created by two rays, called the sides of the angle, that share a common termination, called the vertex of the angle.
  • Angles formed by two rays are located in the plane containing the rays.

Trigonometric ratio: the trigonometric ratio is used to demonstrate the relationship between the sides and angles of a right-angled triangle.

Let θ represent the angle the pole makes with the tent.

Using trigonometric ratios:

  • cos(θ) = 20/26
  • θ = 39.7°

Therefore, the angle the pole makes with the tent is 39.7°.

Know more about trigonometric ratios here:

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