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Select the correct answer from each drop-down menu. A conical circus tent has a 20 ft central pole that...

Select the correct answer from each drop-down menu.
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 [Choose an answer] 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 [Choose an answer]. Applying [Choose an answer], we find that the angle the tent pole makes with the sides of the tent is [Choose an answer]°.

Answer

To find the angle the tent pole makes with the sides of the tent, we use trigonometry. The central pole, the slant height, and the radius of the base form a right triangle. The angle in question is between the central pole and the slant height.

  1. The sine 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 20/26.
  2. Applying inverse sine, we find that the angle the tent pole makes with the sides of the tent is 50.19°.

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